<script>
// this is a cached json response so we do not have to execute it on page load
// to update this, edit server.md (see comments)
var skyMapOutput = 
{"dataset_id":"gaia-dr2","expression_x":"l","expression_y":"b","centers_x":[1.40625,4.21875,7.03125,9.84375,12.65625,15.46875,18.28125,21.09375,23.90625,26.71875,29.53125,32.34375,35.15625,37.96875,40.78125,43.59375,46.40625,49.21875,52.03125,54.84375,57.65625,60.46875,63.28125,66.09375,68.90625,71.71875,74.53125,77.34375,80.15625,82.96875,85.78125,88.59375,91.40625,94.21875,97.03125,99.84375,102.65625,105.46875,108.28125,111.09375,113.90625,116.71875,119.53125,122.34375,125.15625,127.96875,130.78125,133.59375,136.40625,139.21875,142.03125,144.84375,147.65625,150.46875,153.28125,156.09375,158.90625,161.71875,164.53125,167.34375,170.15625,172.96875,175.78125,178.59375,181.40625,184.21875,187.03125,189.84375,192.65625,195.46875,198.28125,201.09375,203.90625,206.71875,209.53125,212.34375,215.15625,217.96875,220.78125,223.59375,226.40625,229.21875,232.03125,234.84375,237.65625,240.46875,243.28125,246.09375,248.90625,251.71875,254.53125,257.34375,260.15625,262.96875,265.78125,268.59375,271.40625,274.21875,277.03125,279.84375,282.65625,285.46875,288.28125,291.09375,293.90625,296.71875,299.53125,302.34375,305.15625,307.96875,310.78125,313.59375,316.40625,319.21875,322.03125,324.84375,327.65625,330.46875,333.28125,336.09375,338.90625,341.71875,344.53125,347.34375,350.15625,352.96875,355.78125,358.59375],"centers_y":[-89.296875,-87.890625,-86.484375,-85.078125,-83.671875,-82.265625,-80.859375,-79.453125,-78.046875,-76.640625,-75.234375,-73.828125,-72.421875,-71.015625,-69.609375,-68.203125,-66.796875,-65.390625,-63.984375,-62.578125,-61.171875,-59.765625,-58.359375,-56.953125,-55.546875,-54.140625,-52.734375,-51.328125,-49.921875,-48.515625,-47.109375,-45.703125,-44.296875,-42.890625,-41.484375,-40.078125,-38.671875,-37.265625,-35.859375,-34.453125,-33.046875,-31.640625,-30.234375,-28.828125,-27.421875,-26.015625,-24.609375,-23.203125,-21.796875,-20.390625,-18.984375,-17.578125,-16.171875,-14.765625,-13.359375,-11.953125,-10.546875,-9.140625,-7.734375,-6.328125,-4.921875,-3.515625,-2.109375,-0.703125,0.703125,2.109375,3.515625,4.921875,6.328125,7.734375,9.140625,10.546875,11.953125,13.359375,14.765625,16.171875,17.578125,18.984375,20.390625,21.796875,23.203125,24.609375,26.015625,27.421875,28.828125,30.234375,31.640625,33.046875,34.453125,35.859375,37.265625,38.671875,40.078125,41.484375,42.890625,44.296875,45.703125,47.109375,48.515625,49.921875,51.328125,52.734375,54.140625,55.546875,56.953125,58.359375,59.765625,61.171875,62.578125,63.984375,65.390625,66.796875,68.203125,69.609375,71.015625,72.421875,73.828125,75.234375,76.640625,78.046875,79.453125,80.859375,82.265625,83.671875,85.078125,86.484375,87.890625,89.296875],"values":[[133.0,415.0,633.0,911.0,1152.0,1493.0,1775.0,1967.0,2389.0,2784.0,3106.0,3539.0,3688.0,4038.0,4464.0,4763.0,5806.0,6428.0,6948.0,7588.0,8207.0,9045.0,9448.0,10311.0,11620.0,12780.0,14466.0,15105.0,15839.0,17800.0,19958.0,22486.0,24219.0,26457.0,28795.0,31481.0,34972.0,39470.0,44842.0,47534.0,52238.0,57639.0,64977.0,73368.0,83517.0,92310.0,105132.0,116742.0,129349.0,171058.0,224970.0,317861.0,401757.0,547958.0,752780.0,1089772.0,1586787.0,2265180.0,3016378.0,3449489.0,3454060.0,3524275.0,3456299.0,1430395.0,1206667.0,2579590.0,1469795.0,1598130.0,2102944.0,1752626.0,1420165.0,1013831.0,833444.0,628238.0,430164.0,296516.0,199150.0,173470.0,138426.0,102933.0,94987.0,85611.0,74118.0,64684.0,59064.0,56267.0,48980.0,43758.0,40329.0,36094.0,32290.0,28210.0,24366.0,22256.0,20631.0,19632.0,19891.0,17354.0,15941.0,14481.0,13386.0,12448.0,11256.0,10490.0,9698.0,8704.0,8248.0,7666.0,6922.0,6366.0,5785.0,5273.0,4921.0,4767.0,4192.0,3872.0,3432.0,3112.0,2741.0,2585.0,2034.0,1899.0,1518.0,1200.0,962.0,625.0,386.0,142.0],[138.0,380.0,612.0,979.0,1174.0,1476.0,1717.0,2070.0,2391.0,3149.0,3139.0,3326.0,3691.0,4006.0,4394.0,4795.0,5452.0,6494.0,7184.0,7517.0,8294.0,9067.0,9693.0,10433.0,11307.0,12647.0,13679.0,15021.0,16716.0,17836.0,19236.0,21394.0,24595.0,26514.0,29474.0,32353.0,35751.0,39948.0,45832.0,46521.0,52324.0,58706.0,67676.0,76110.0,86227.0,91879.0,107444.0,135894.0,174806.0,222472.0,282942.0,367960.0,479088.0,638381.0,839675.0,1165799.0,1682715.0,2354294.0,3092437.0,3450692.0,3496585.0,3479475.0,2788979.0,917402.0,1003853.0,2742671.0,3034138.0,2876008.0,2177689.0,1545141.0,1457256.0,1212959.0,945676.0,603645.0,397404.0,289829.0,170851.0,141432.0,138200.0,113780.0,105493.0,89021.0,75687.0,66097.0,57966.0,53752.0,52123.0,44047.0,36491.0,29251.0,27586.0,28313.0,26073.0,23490.0,22099.0,20522.0,19607.0,51599.0,16126.0,14505.0,13355.0,12035.0,11098.0,10245.0,9297.0,8936.0,8078.0,7406.0,6950.0,6394.0,5868.0,5255.0,4916.0,4432.0,4018.0,3992.0,3432.0,3081.0,2796.0,2493.0,2119.0,1803.0,1483.0,1187.0,904.0,702.0,370.0,125.0],[133.0,360.0,644.0,969.0,1184.0,1441.0,1843.0,2064.0,2447.0,2797.0,3102.0,3348.0,3660.0,3986.0,4521.0,4860.0,5388.0,6028.0,6898.0,7897.0,8544.0,8918.0,9704.0,10807.0,11639.0,12632.0,13705.0,14768.0,16247.0,17900.0,19537.0,20708.0,24464.0,26739.0,29261.0,32205.0,35960.0,40484.0,47192.0,49204.0,53866.0,60365.0,67553.0,78019.0,85336.0,97958.0,118709.0,148768.0,190543.0,237334.0,289628.0,376494.0,475328.0,596970.0,755955.0,1066851.0,1525795.0,2013150.0,2778226.0,3338407.0,3541835.0,3155202.0,1681683.0,736357.0,1024610.0,2645201.0,2652355.0,2998778.0,2619940.0,2178042.0,1700133.0,1341547.0,837317.0,512435.0,333538.0,215106.0,179669.0,169588.0,109437.0,107756.0,97249.0,85821.0,79767.0,65347.0,55486.0,49076.0,46501.0,43459.0,37650.0,31131.0,29862.0,29175.0,27601.0,25479.0,23027.0,20902.0,19405.0,16996.0,15906.0,14551.0,13466.0,12361.0,11344.0,10328.0,9385.0,8610.0,8150.0,7574.0,7015.0,6264.0,5697.0,5398.0,4887.0,4429.0,4123.0,3943.0,3276.0,2942.0,2737.0,2555.0,2148.0,1771.0,1460.0,1216.0,954.0,617.0,399.0,116.0],[120.0,369.0,659.0,883.0,1099.0,1463.0,1755.0,2165.0,2481.0,2838.0,3077.0,3418.0,3575.0,4045.0,4630.0,4830.0,5343.0,5879.0,6676.0,7647.0,8619.0,9189.0,9970.0,10749.0,11702.0,12653.0,13548.0,15094.0,16270.0,17066.0,18242.0,20735.0,22891.0,26154.0,29270.0,31610.0,35673.0,40483.0,46620.0,47863.0,53373.0,56684.0,63492.0,71265.0,82162.0,96496.0,114519.0,164703.0,161256.0,193649.0,232877.0,286226.0,356653.0,446306.0,571948.0,777231.0,1108308.0,1614716.0,2438074.0,2949188.0,3273200.0,2852624.0,1900233.0,754498.0,811541.0,1452838.0,2230225.0,2719960.0,2523081.0,2237274.0,1564651.0,976561.0,613673.0,438320.0,294841.0,196812.0,171963.0,139274.0,120629.0,108687.0,97107.0,85070.0,74962.0,66155.0,58645.0,52409.0,46413.0,45615.0,40087.0,35300.0,32555.0,29962.0,26922.0,24774.0,22990.0,21242.0,19286.0,17323.0,15918.0,14576.0,13417.0,12054.0,11208.0,10112.0,9350.0,8818.0,8069.0,7459.0,7085.0,6473.0,5880.0,5311.0,4842.0,4462.0,4180.0,3555.0,3337.0,2978.0,2683.0,2512.0,2132.0,1835.0,1568.0,1238.0,916.0,677.0,416.0,121.0],[108.0,380.0,670.0,899.0,1118.0,1419.0,1677.0,2310.0,2500.0,2790.0,3068.0,3291.0,3570.0,4199.0,4537.0,5111.0,5617.0,5924.0,6663.0,7149.0,8049.0,9325.0,10255.0,10912.0,11910.0,12545.0,13585.0,15069.0,16277.0,17721.0,19271.0,19471.0,21459.0,25121.0,28919.0,32011.0,34505.0,39758.0,45040.0,47077.0,52758.0,58961.0,64390.0,72619.0,85249.0,95496.0,110352.0,121035.0,144380.0,174953.0,214714.0,261523.0,319128.0,400955.0,515366.0,720805.0,920562.0,1217805.0,1710906.0,2413954.0,2651589.0,2686129.0,1749048.0,1037233.0,556522.0,1421348.0,2079073.0,2126276.0,1798628.0,1551992.0,1143567.0,685379.0,449312.0,353121.0,245852.0,183607.0,153553.0,128118.0,106615.0,112767.0,101464.0,86330.0,74974.0,64605.0,58865.0,55638.0,51814.0,46607.0,43441.0,37329.0,33133.0,29569.0,26217.0,24123.0,22543.0,21105.0,19528.0,18029.0,16015.0,14480.0,12818.0,12106.0,10934.0,10044.0,9566.0,8777.0,8060.0,7715.0,6826.0,6273.0,5894.0,5297.0,5019.0,4601.0,4109.0,3590.0,3439.0,2999.0,2768.0,2516.0,2156.0,1794.0,1504.0,1183.0,949.0,666.0,403.0,112.0],[102.0,383.0,632.0,926.0,1161.0,1451.0,1763.0,2265.0,2401.0,2722.0,2943.0,3250.0,3763.0,4148.0,4498.0,5013.0,5583.0,6060.0,6675.0,7305.0,7770.0,8589.0,10481.0,11426.0,12059.0,12942.0,13956.0,15375.0,16945.0,17874.0,19192.0,20303.0,20972.0,23210.0,26481.0,31592.0,34767.0,38432.0,44414.0,47443.0,52614.0,58097.0,64198.0,70672.0,79536.0,92368.0,108381.0,126001.0,145580.0,168630.0,205088.0,257065.0,316409.0,386482.0,487523.0,650158.0,853778.0,1168811.0,1501973.0,1904784.0,2354435.0,2609271.0,1792819.0,599478.0,794845.0,896193.0,801414.0,1021320.0,1046542.0,742847.0,535265.0,456078.0,312365.0,219143.0,188007.0,167033.0,138549.0,120255.0,107075.0,107547.0,137904.0,92617.0,103275.0,71850.0,66664.0,60148.0,52757.0,47804.0,45003.0,39723.0,34551.0,30320.0,27981.0,25217.0,22819.0,21091.0,18949.0,17572.0,16144.0,14913.0,13090.0,11700.0,10825.0,10037.0,9288.0,8656.0,8085.0,7328.0,6788.0,6066.0,5634.0,5212.0,4924.0,4479.0,3979.0,3589.0,3330.0,2977.0,2826.0,2400.0,2121.0,1781.0,1504.0,1187.0,847.0,643.0,412.0,128.0],[130.0,369.0,597.0,905.0,1217.0,1485.0,1807.0,2119.0,2467.0,2808.0,3061.0,3290.0,3597.0,4159.0,4606.0,5055.0,5419.0,6082.0,6829.0,7309.0,7981.0,8952.0,9726.0,10551.0,12302.0,13376.0,14189.0,15578.0,16433.0,17809.0,18979.0,20471.0,21489.0,23570.0,26133.0,29916.0,34240.0,38186.0,42835.0,47159.0,52378.0,58300.0,63535.0,68192.0,75111.0,86126.0,102988.0,122986.0,140929.0,163763.0,198756.0,238432.0,303133.0,379126.0,475857.0,613044.0,778536.0,986241.0,1311951.0,1647635.0,2029887.0,2254721.0,2563086.0,889239.0,838386.0,514874.0,504232.0,847204.0,726273.0,448190.0,486079.0,358632.0,248701.0,204192.0,192174.0,168449.0,123375.0,101617.0,105486.0,107468.0,99532.0,87916.0,79959.0,75052.0,68572.0,63022.0,55238.0,47139.0,44281.0,39817.0,35876.0,31879.0,28232.0,25539.0,22968.0,20678.0,19085.0,17108.0,15622.0,14506.0,13350.0,12183.0,11080.0,10126.0,9318.0,8703.0,8103.0,7452.0,6726.0,6352.0,5556.0,5302.0,4944.0,4468.0,4094.0,3558.0,3359.0,2931.0,2763.0,2540.0,2212.0,1803.0,1469.0,1189.0,895.0,642.0,386.0,109.0],[121.0,399.0,620.0,843.0,1193.0,1477.0,1805.0,2080.0,2443.0,2729.0,3073.0,3221.0,3556.0,4106.0,4469.0,5086.0,5690.0,6114.0,6596.0,7277.0,7648.0,8678.0,9618.0,10604.0,11218.0,13016.0,14523.0,15478.0,16486.0,17521.0,19032.0,20365.0,21569.0,24136.0,26633.0,29113.0,33721.0,38046.0,42091.0,48834.0,52655.0,56772.0,62505.0,68656.0,74039.0,88177.0,95299.0,112203.0,135365.0,160003.0,187542.0,226626.0,277668.0,339325.0,434485.0,566645.0,727437.0,899599.0,1084943.0,1435165.0,1546993.0,1928644.0,1867973.0,673782.0,867467.0,879296.0,679237.0,565280.0,551971.0,417591.0,417154.0,343051.0,269078.0,241161.0,233166.0,194097.0,156423.0,130596.0,115871.0,110404.0,100996.0,97494.0,86297.0,77427.0,67988.0,59763.0,54038.0,48367.0,43350.0,39226.0,34979.0,32077.0,29177.0,26129.0,23393.0,20985.0,18605.0,16849.0,15582.0,14148.0,12852.0,12052.0,11452.0,10499.0,9228.0,8494.0,7817.0,7172.0,6590.0,6206.0,5617.0,5436.0,4937.0,4325.0,3974.0,3620.0,3244.0,3163.0,2775.0,2472.0,2082.0,1717.0,1481.0,1207.0,932.0,625.0,429.0,141.0],[117.0,389.0,668.0,933.0,1225.0,1449.0,1748.0,2164.0,2415.0,2750.0,3048.0,3341.0,3863.0,4223.0,4496.0,5194.0,5792.0,6097.0,6757.0,7364.0,8153.0,8763.0,9374.0,10160.0,10768.0,11840.0,12978.0,14970.0,16621.0,17665.0,18630.0,20375.0,22041.0,23935.0,26144.0,28656.0,32041.0,37057.0,40198.0,46985.0,50944.0,56988.0,63327.0,69771.0,76734.0,84986.0,96005.0,107564.0,123238.0,144210.0,171337.0,206486.0,250089.0,303223.0,388575.0,493637.0,621783.0,720406.0,994409.0,1321217.0,2035170.0,2483232.0,2312137.0,788710.0,679386.0,875193.0,1070309.0,693293.0,626664.0,208729.0,229351.0,317713.0,319367.0,289988.0,245905.0,213231.0,169904.0,143779.0,131768.0,117369.0,100394.0,96643.0,82832.0,72170.0,64041.0,57846.0,51839.0,47194.0,43838.0,38981.0,34826.0,31253.0,27933.0,25485.0,22968.0,21268.0,19245.0,17088.0,15187.0,13690.0,12868.0,11854.0,11018.0,10536.0,9633.0,8285.0,7790.0,7050.0,6629.0,6170.0,5778.0,5211.0,4863.0,4539.0,4027.0,3709.0,3190.0,3182.0,2863.0,2356.0,2035.0,1831.0,1456.0,1134.0,886.0,670.0,444.0,136.0],[137.0,374.0,709.0,876.0,1166.0,1416.0,1757.0,2142.0,2571.0,2654.0,2895.0,3293.0,3711.0,4148.0,4789.0,5048.0,5341.0,6025.0,6601.0,7063.0,8061.0,8576.0,9493.0,9978.0,10784.0,11536.0,12758.0,13705.0,14574.0,17002.0,32625.0,20647.0,22064.0,23332.0,25705.0,28854.0,31644.0,35018.0,40715.0,45080.0,51348.0,54329.0,58776.0,69679.0,76826.0,83734.0,92246.0,102652.0,122008.0,146117.0,175632.0,192140.0,227557.0,277571.0,358054.0,458183.0,567136.0,687034.0,922878.0,1349799.0,1984811.0,2618838.0,2809253.0,2006597.0,949418.0,805926.0,284375.0,354402.0,337219.0,244449.0,342820.0,428372.0,353766.0,292277.0,219681.0,199019.0,174125.0,159307.0,138306.0,120463.0,99352.0,90974.0,79889.0,71942.0,61667.0,55517.0,50868.0,45865.0,43389.0,39023.0,34308.0,30555.0,27362.0,25259.0,23191.0,20948.0,19470.0,18017.0,15957.0,13818.0,12521.0,11703.0,10624.0,10154.0,9474.0,8603.0,7809.0,7030.0,6664.0,6310.0,5711.0,5054.0,4785.0,4312.0,4097.0,3641.0,3339.0,3251.0,2846.0,2319.0,2060.0,1797.0,1426.0,1166.0,977.0,616.0,410.0,118.0],[128.0,410.0,667.0,905.0,1151.0,1502.0,1790.0,2099.0,2377.0,2808.0,2971.0,3245.0,3635.0,3987.0,4702.0,5165.0,5627.0,6263.0,6763.0,7297.0,7827.0,8553.0,9054.0,9509.0,10332.0,11274.0,12691.0,13829.0,14589.0,16339.0,17741.0,19871.0,22562.0,23638.0,25490.0,27372.0,30283.0,33376.0,38034.0,45079.0,49678.0,55590.0,58694.0,64601.0,75615.0,87542.0,95644.0,106085.0,120970.0,144559.0,173813.0,200130.0,217743.0,259409.0,313177.0,383641.0,500927.0,625744.0,724014.0,924087.0,1368348.0,1716543.0,1551565.0,643610.0,1060766.0,924458.0,183891.0,296262.0,404143.0,485080.0,469298.0,478840.0,404784.0,320623.0,250984.0,189548.0,171499.0,159470.0,136143.0,115445.0,98193.0,91537.0,78349.0,69678.0,61468.0,54623.0,49607.0,45413.0,43408.0,37953.0,34718.0,31258.0,27415.0,24763.0,22790.0,21156.0,18934.0,17435.0,16211.0,14918.0,12696.0,11293.0,10330.0,9612.0,9149.0,8465.0,8050.0,7414.0,6965.0,6341.0,5589.0,5169.0,4634.0,4477.0,3999.0,3516.0,3542.0,3208.0,2675.0,2477.0,2126.0,1733.0,1421.0,1161.0,966.0,654.0,410.0,122.0],[132.0,395.0,683.0,876.0,1132.0,1436.0,1763.0,2125.0,2352.0,2742.0,3076.0,3423.0,3965.0,4188.0,4824.0,5058.0,5531.0,6058.0,6662.0,7203.0,7507.0,8459.0,9066.0,9410.0,10196.0,11120.0,12092.0,13246.0,14101.0,15582.0,16478.0,17891.0,19904.0,23403.0,25869.0,27482.0,29176.0,33106.0,36568.0,43267.0,49099.0,55219.0,61253.0,65349.0,72602.0,82404.0,94447.0,108771.0,122718.0,138513.0,164353.0,197994.0,231491.0,252735.0,305816.0,342149.0,399414.0,496598.0,662805.0,801529.0,1077901.0,1574248.0,1797218.0,1617072.0,505992.0,477692.0,343274.0,419205.0,542956.0,597145.0,569526.0,499091.0,394778.0,306265.0,245316.0,207772.0,181414.0,151812.0,126181.0,109059.0,95798.0,88415.0,74992.0,67262.0,61030.0,55138.0,49069.0,46134.0,40853.0,36558.0,33255.0,30367.0,28180.0,24965.0,22278.0,20093.0,18321.0,16957.0,15497.0,14291.0,13318.0,11877.0,10713.0,9817.0,8833.0,8207.0,7907.0,7445.0,6787.0,6256.0,5650.0,5237.0,4784.0,4425.0,3954.0,3698.0,3533.0,3158.0,2735.0,2369.0,2085.0,1714.0,1516.0,1216.0,951.0,616.0,417.0,137.0],[131.0,353.0,626.0,894.0,1149.0,1436.0,1714.0,2004.0,2509.0,2722.0,2952.0,3250.0,3662.0,4142.0,4605.0,5127.0,5631.0,6049.0,6451.0,6949.0,7457.0,8324.0,8845.0,9191.0,10112.0,11019.0,11925.0,13175.0,14130.0,15120.0,16211.0,17825.0,19209.0,21031.0,23045.0,26723.0,30320.0,32492.0,36461.0,41169.0,53036.0,53584.0,60470.0,66879.0,70555.0,78739.0,89762.0,103749.0,126373.0,144274.0,158935.0,181066.0,213564.0,261596.0,313677.0,348796.0,420088.0,565723.0,725802.0,1040967.0,1269146.0,1667844.0,855957.0,206694.0,187058.0,325053.0,797782.0,815079.0,636713.0,639339.0,576429.0,471449.0,354270.0,282081.0,234146.0,205420.0,173448.0,141975.0,123927.0,105009.0,94813.0,85017.0,72751.0,64436.0,57030.0,50166.0,47933.0,44660.0,39434.0,35228.0,31837.0,29117.0,26722.0,24277.0,22559.0,20016.0,17377.0,16173.0,14888.0,13762.0,12826.0,12655.0,11001.0,10137.0,9020.0,8437.0,7644.0,7209.0,6582.0,6190.0,5722.0,5042.0,4734.0,4336.0,4052.0,4102.0,3490.0,3245.0,2682.0,2394.0,1975.0,1722.0,1440.0,1090.0,903.0,630.0,435.0,131.0],[115.0,356.0,677.0,857.0,1092.0,1468.0,1763.0,2049.0,2425.0,2757.0,3115.0,3421.0,3680.0,4119.0,4675.0,4950.0,5332.0,5707.0,6360.0,6754.0,7355.0,8194.0,8747.0,9084.0,9713.0,10690.0,11759.0,12763.0,13420.0,14118.0,15513.0,16785.0,18547.0,20063.0,21830.0,24389.0,27365.0,32395.0,36374.0,38277.0,42816.0,50739.0,56203.0,64920.0,74446.0,79634.0,89665.0,100961.0,115175.0,125465.0,147340.0,156447.0,182261.0,234742.0,311885.0,392765.0,455493.0,556765.0,733929.0,975605.0,1245090.0,1627845.0,1548114.0,539079.0,109907.0,247558.0,513970.0,790115.0,917921.0,754546.0,600506.0,448169.0,348646.0,288942.0,244307.0,204966.0,163297.0,142013.0,121905.0,105062.0,101643.0,86070.0,73834.0,64820.0,57123.0,51800.0,48587.0,42089.0,37730.0,33567.0,31066.0,28238.0,25706.0,23752.0,21249.0,19049.0,18365.0,16404.0,14773.0,13583.0,12402.0,11795.0,11466.0,10391.0,9244.0,8397.0,7746.0,7232.0,6652.0,6171.0,5664.0,5100.0,4633.0,4486.0,4405.0,3846.0,3422.0,3067.0,2754.0,2381.0,1950.0,1728.0,1375.0,1137.0,914.0,664.0,408.0,117.0],[124.0,375.0,668.0,887.0,1128.0,1382.0,1746.0,2070.0,2438.0,2772.0,2993.0,3302.0,3833.0,4274.0,4639.0,5140.0,5544.0,5752.0,6056.0,6828.0,7131.0,7853.0,8382.0,8787.0,9456.0,10472.0,11503.0,12603.0,13136.0,14251.0,15248.0,16760.0,18419.0,19924.0,21636.0,24194.0,26624.0,28900.0,30606.0,37183.0,42105.0,48546.0,55437.0,61118.0,70322.0,80566.0,88571.0,97581.0,110480.0,122123.0,138952.0,172934.0,205601.0,247460.0,303440.0,365833.0,442253.0,594542.0,808213.0,1032516.0,948502.0,1085203.0,973399.0,289527.0,317091.0,291168.0,734961.0,1021913.0,975854.0,756724.0,552848.0,433208.0,345208.0,285801.0,247077.0,191445.0,157479.0,139934.0,120790.0,111352.0,99977.0,84642.0,72959.0,64793.0,60050.0,53770.0,47138.0,41829.0,37193.0,33779.0,30562.0,27946.0,25314.0,23063.0,20686.0,18937.0,17561.0,16588.0,15505.0,14310.0,12777.0,11583.0,10637.0,10245.0,9797.0,8659.0,8018.0,7281.0,6591.0,6038.0,5789.0,5084.0,4963.0,4730.0,4210.0,3849.0,7536.0,3021.0,2825.0,14967.0,5764.0,1730.0,1437.0,1116.0,938.0,654.0,416.0,134.0],[126.0,408.0,683.0,905.0,1174.0,1475.0,1692.0,2085.0,2426.0,2789.0,2964.0,3200.0,3598.0,4052.0,4495.0,5000.0,5499.0,5888.0,6361.0,6805.0,7397.0,7926.0,8442.0,9029.0,9533.0,10303.0,11415.0,12409.0,12678.0,13665.0,14637.0,15984.0,17036.0,18917.0,20931.0,23335.0,25372.0,26328.0,28859.0,33800.0,38015.0,45272.0,54291.0,59762.0,67856.0,75933.0,84704.0,93250.0,104565.0,119022.0,137519.0,162771.0,208507.0,260902.0,308037.0,383050.0,476717.0,616872.0,792284.0,1108011.0,1368099.0,1565720.0,1012365.0,414940.0,668404.0,1276344.0,1362458.0,1209581.0,887849.0,601100.0,410155.0,396476.0,322082.0,278259.0,220211.0,184583.0,162301.0,137635.0,126810.0,110560.0,93420.0,81170.0,73840.0,66882.0,58630.0,51887.0,46152.0,40940.0,36380.0,33246.0,29918.0,27344.0,25234.0,22919.0,21084.0,19267.0,17482.0,16113.0,15480.0,14216.0,13207.0,11819.0,11351.0,10620.0,9973.0,9432.0,8435.0,7891.0,6963.0,6315.0,5967.0,5620.0,4965.0,4483.0,4093.0,3609.0,5646.0,2940.0,2628.0,17685.0,6264.0,1680.0,1355.0,1217.0,923.0,656.0,404.0,135.0],[136.0,381.0,672.0,876.0,1128.0,1514.0,1739.0,2060.0,2465.0,2894.0,2950.0,3088.0,3528.0,3984.0,4231.0,4683.0,4980.0,5603.0,5956.0,6436.0,6993.0,7646.0,8240.0,8567.0,8931.0,9691.0,10710.0,12050.0,12701.0,13429.0,14570.0,16009.0,17341.0,18801.0,20679.0,23117.0,25389.0,26812.0,29803.0,33073.0,37086.0,41145.0,47653.0,57225.0,64423.0,72039.0,82411.0,92898.0,106596.0,125099.0,137880.0,156381.0,186424.0,231755.0,303100.0,357308.0,450802.0,533718.0,664660.0,963950.0,1267371.0,1385275.0,837576.0,396726.0,1030686.0,1758961.0,1308281.0,945652.0,713117.0,637075.0,389955.0,361255.0,307590.0,253547.0,203907.0,174798.0,160340.0,142778.0,121987.0,106490.0,91595.0,80260.0,70620.0,62558.0,54908.0,49205.0,44197.0,39494.0,35187.0,31770.0,28305.0,25995.0,24153.0,22207.0,20199.0,18871.0,17160.0,15958.0,14541.0,13868.0,12589.0,11804.0,10930.0,10421.0,9812.0,9113.0,8309.0,7910.0,7163.0,6551.0,5854.0,5491.0,4916.0,4443.0,3968.0,3616.0,3318.0,2900.0,2623.0,2305.0,2052.0,1716.0,1459.0,1167.0,926.0,665.0,387.0,123.0],[121.0,401.0,680.0,907.0,1192.0,1427.0,1766.0,2018.0,2423.0,2825.0,2883.0,3254.0,3511.0,4082.0,4379.0,4828.0,5102.0,5482.0,6043.0,6498.0,6982.0,7469.0,7992.0,8312.0,8939.0,9621.0,10591.0,11430.0,12313.0,13388.0,14128.0,15156.0,16929.0,18389.0,19952.0,22037.0,24188.0,26421.0,29514.0,32497.0,35946.0,40080.0,44046.0,51227.0,61149.0,67546.0,77203.0,87708.0,101021.0,116669.0,138154.0,162903.0,186730.0,219129.0,275185.0,352885.0,420394.0,515155.0,647911.0,876696.0,1312198.0,1720448.0,962465.0,512856.0,1053973.0,1407580.0,1380296.0,1128646.0,796076.0,671225.0,484865.0,391000.0,323235.0,260426.0,221088.0,187795.0,162066.0,136201.0,114007.0,99364.0,86423.0,75457.0,66244.0,58289.0,52197.0,47000.0,42336.0,37476.0,33587.0,30618.0,28261.0,25750.0,23935.0,22161.0,19947.0,18364.0,16844.0,15515.0,14415.0,13209.0,12364.0,11633.0,10656.0,10033.0,9281.0,8776.0,8192.0,7445.0,6989.0,6564.0,5946.0,5336.0,4957.0,4304.0,3936.0,3517.0,3187.0,2915.0,2597.0,2312.0,2011.0,1637.0,1451.0,1163.0,929.0,621.0,384.0,134.0],[104.0,412.0,672.0,895.0,1148.0,1417.0,1775.0,2060.0,2415.0,2871.0,2816.0,3274.0,3609.0,3866.0,4409.0,4773.0,4998.0,5489.0,6757.0,6326.0,6988.0,7418.0,7897.0,8439.0,8716.0,9673.0,10521.0,11412.0,12432.0,12848.0,14007.0,15121.0,16956.0,18688.0,19952.0,21918.0,24163.0,26232.0,41831.0,32551.0,35331.0,38702.0,42102.0,47101.0,56651.0,63905.0,73705.0,84715.0,97196.0,111324.0,136550.0,148596.0,180512.0,202961.0,258822.0,341803.0,446462.0,542105.0,695536.0,947214.0,1311327.0,1469273.0,1149011.0,447422.0,518077.0,614272.0,908398.0,976946.0,741756.0,608520.0,478123.0,383984.0,317199.0,263394.0,218196.0,176004.0,142850.0,120521.0,104596.0,92217.0,81396.0,72677.0,63651.0,56589.0,50101.0,45128.0,40790.0,36101.0,32536.0,29949.0,27717.0,25237.0,23032.0,21070.0,19414.0,17991.0,16390.0,15031.0,14277.0,13050.0,12091.0,11246.0,10560.0,9530.0,9306.0,8584.0,7926.0,7489.0,6892.0,6489.0,5827.0,5338.0,4910.0,4199.0,3923.0,3397.0,3209.0,2829.0,2514.0,2318.0,2017.0,1702.0,1481.0,1230.0,992.0,642.0,379.0,122.0],[130.0,382.0,673.0,894.0,1151.0,1426.0,1837.0,2098.0,2378.0,2857.0,2995.0,3227.0,3482.0,3836.0,4304.0,4707.0,5086.0,5241.0,6062.0,6371.0,6640.0,7286.0,7702.0,8245.0,8432.0,9056.0,10133.0,11028.0,11903.0,12309.0,13298.0,14465.0,15513.0,16722.0,18507.0,20127.0,22769.0,24891.0,29180.0,30665.0,34066.0,37200.0,40884.0,45216.0,49454.0,61339.0,69319.0,79697.0,91839.0,106361.0,122966.0,143107.0,169862.0,202064.0,245090.0,306059.0,394533.0,505945.0,658606.0,908046.0,1274524.0,1682132.0,1651256.0,1085913.0,1141152.0,1087973.0,887295.0,900917.0,680851.0,528864.0,440550.0,357502.0,291177.0,240639.0,198748.0,164653.0,137024.0,114370.0,101443.0,88326.0,77756.0,68130.0,60323.0,53298.0,47846.0,43356.0,39269.0,35183.0,31629.0,29670.0,27441.0,24871.0,22550.0,21165.0,19342.0,17709.0,16329.0,15075.0,13830.0,12809.0,12000.0,10872.0,10310.0,9298.0,8746.0,8192.0,7610.0,7336.0,6674.0,6271.0,5938.0,5330.0,5117.0,4498.0,4089.0,3644.0,3127.0,2948.0,2579.0,2249.0,2101.0,1651.0,1457.0,1169.0,946.0,653.0,428.0,101.0],[122.0,410.0,673.0,892.0,1121.0,1460.0,1828.0,2148.0,2465.0,3016.0,2990.0,3351.0,3544.0,3872.0,4292.0,4570.0,5140.0,5432.0,5892.0,6314.0,6740.0,7151.0,7681.0,8424.0,8784.0,9205.0,9979.0,10747.0,11671.0,12100.0,13003.0,13868.0,14532.0,15960.0,17771.0,19027.0,21265.0,24082.0,26725.0,28808.0,33030.0,35786.0,38996.0,43114.0,48638.0,56607.0,67681.0,75994.0,85782.0,99562.0,114677.0,134968.0,160842.0,195218.0,233739.0,279912.0,361524.0,460886.0,568507.0,742607.0,1093838.0,1445621.0,1376544.0,740905.0,693910.0,1360118.0,1278079.0,968588.0,700856.0,560726.0,433318.0,330002.0,267056.0,214870.0,174090.0,142906.0,125273.0,108195.0,94529.0,83934.0,73829.0,65425.0,57592.0,51080.0,45841.0,42291.0,37855.0,34104.0,31234.0,28733.0,26007.0,24131.0,22769.0,52786.0,18854.0,17395.0,16018.0,14898.0,13479.0,12450.0,11771.0,11036.0,10097.0,9339.0,8644.0,8152.0,7496.0,7064.0,6457.0,6187.0,5627.0,5139.0,4896.0,4372.0,3893.0,3618.0,3347.0,2993.0,2581.0,2288.0,2023.0,1787.0,1419.0,1149.0,848.0,658.0,447.0,142.0],[135.0,391.0,678.0,891.0,1158.0,1495.0,1757.0,2093.0,2434.0,2790.0,3067.0,3219.0,3472.0,3832.0,4174.0,4523.0,4974.0,5323.0,5845.0,6232.0,6707.0,7114.0,7572.0,8112.0,8769.0,9175.0,9901.0,10656.0,11611.0,12280.0,13078.0,13788.0,14671.0,16103.0,17870.0,19539.0,21215.0,23241.0,25433.0,27137.0,31409.0,34860.0,38305.0,42855.0,47231.0,52940.0,62641.0,72324.0,79942.0,90219.0,107066.0,126262.0,149242.0,177307.0,216692.0,271550.0,331547.0,427505.0,518827.0,715162.0,924184.0,1039685.0,1032279.0,706466.0,1028734.0,1575070.0,1586455.0,1088691.0,776539.0,566284.0,406828.0,309935.0,242408.0,197352.0,165902.0,138618.0,119885.0,102548.0,90768.0,79284.0,69508.0,60935.0,54938.0,49335.0,44385.0,39589.0,35795.0,32276.0,29541.0,27432.0,25317.0,23255.0,21622.0,29237.0,18223.0,16686.0,15620.0,14342.0,13370.0,12233.0,11281.0,10708.0,10067.0,9163.0,8580.0,7746.0,7378.0,7045.0,6387.0,6004.0,5409.0,5150.0,4717.0,4420.0,4032.0,3471.0,3258.0,2957.0,2618.0,2245.0,1984.0,1672.0,1485.0,1157.0,919.0,624.0,412.0,105.0],[128.0,413.0,615.0,875.0,1232.0,1482.0,1764.0,2142.0,2408.0,2787.0,3256.0,3138.0,3438.0,3753.0,4216.0,4462.0,4755.0,5270.0,5604.0,6026.0,6492.0,6919.0,7426.0,7979.0,8345.0,9088.0,9498.0,10403.0,11320.0,12020.0,12860.0,13240.0,14484.0,15923.0,17617.0,18692.0,20551.0,22441.0,24416.0,26670.0,29614.0,33492.0,37375.0,41040.0,45395.0,50304.0,58015.0,70159.0,77898.0,87036.0,101089.0,116917.0,141966.0,162680.0,199864.0,249317.0,298280.0,377672.0,446674.0,598831.0,632147.0,547463.0,701702.0,599008.0,1073174.0,1695331.0,1787539.0,1193576.0,779935.0,533608.0,380292.0,295795.0,238503.0,193606.0,160358.0,134851.0,115032.0,99607.0,87660.0,75601.0,66395.0,58644.0,52542.0,46346.0,42495.0,37895.0,34170.0,31442.0,28704.0,26040.0,24179.0,22474.0,20385.0,19195.0,17623.0,16183.0,15046.0,13920.0,13196.0,12124.0,11302.0,10404.0,9657.0,8954.0,8295.0,7826.0,7032.0,6852.0,6356.0,6004.0,5591.0,5034.0,4528.0,4443.0,3944.0,3520.0,3160.0,2845.0,2562.0,2231.0,2024.0,1675.0,1458.0,1199.0,863.0,636.0,358.0,135.0],[110.0,416.0,656.0,910.0,1149.0,1384.0,1708.0,2014.0,2389.0,2821.0,3170.0,3203.0,3533.0,3688.0,4194.0,4473.0,4732.0,5271.0,5552.0,6049.0,6183.0,6730.0,7316.0,7851.0,8291.0,9000.0,9344.0,10167.0,11120.0,11765.0,12892.0,13134.0,14173.0,15296.0,16331.0,17955.0,19626.0,21695.0,23499.0,26847.0,29139.0,32447.0,35243.0,38074.0,63062.0,48189.0,54259.0,63869.0,73419.0,82419.0,94034.0,107190.0,127242.0,154376.0,187340.0,233535.0,282913.0,353660.0,433908.0,557759.0,616936.0,444315.0,488367.0,793789.0,1339318.0,1546929.0,1583477.0,1168029.0,754730.0,495231.0,372809.0,288944.0,229664.0,185281.0,151801.0,127537.0,108994.0,94296.0,83026.0,71920.0,63898.0,56572.0,50221.0,44812.0,40131.0,36403.0,33204.0,30397.0,28051.0,25888.0,23449.0,21551.0,19949.0,18714.0,16913.0,15830.0,14710.0,13643.0,12467.0,11555.0,11015.0,10197.0,9072.0,8680.0,8138.0,7734.0,7006.0,6566.0,6167.0,5840.0,5503.0,4784.0,4650.0,4248.0,3963.0,3556.0,3074.0,2828.0,2562.0,2233.0,1938.0,1794.0,1497.0,1156.0,914.0,667.0,376.0,126.0],[148.0,372.0,683.0,910.0,1198.0,1425.0,1692.0,2020.0,2461.0,2701.0,3083.0,3357.0,3444.0,3793.0,3952.0,4414.0,4637.0,5110.0,5445.0,5784.0,6277.0,6437.0,7090.0,7600.0,8204.0,8568.0,8821.0,9475.0,10524.0,11281.0,12050.0,12952.0,13372.0,14389.0,15734.0,16868.0,18710.0,20684.0,22886.0,25567.0,27661.0,30282.0,33454.0,36543.0,41057.0,45515.0,51341.0,59172.0,72955.0,80235.0,89284.0,98624.0,115894.0,143753.0,170703.0,207837.0,266352.0,343041.0,393473.0,498166.0,549211.0,540408.0,572999.0,555414.0,1033086.0,1345413.0,1261874.0,1116351.0,737788.0,508547.0,364940.0,281539.0,214194.0,170184.0,141919.0,120610.0,101742.0,89323.0,77423.0,67279.0,60333.0,53110.0,48190.0,43202.0,38228.0,34870.0,32430.0,29629.0,48733.0,24834.0,22702.0,21216.0,19321.0,17883.0,16563.0,15537.0,14685.0,13456.0,12440.0,11291.0,10533.0,9867.0,9078.0,8462.0,7971.0,7301.0,7009.0,6546.0,5997.0,5719.0,5285.0,4911.0,4498.0,4232.0,3841.0,3576.0,3165.0,2785.0,2555.0,2277.0,2003.0,1726.0,1455.0,1192.0,937.0,646.0,389.0,128.0],[147.0,401.0,640.0,924.0,1173.0,1517.0,1716.0,2043.0,2403.0,2719.0,2974.0,3417.0,3468.0,3662.0,3903.0,4326.0,4795.0,4858.0,5383.0,5652.0,6073.0,6581.0,6928.0,7485.0,7869.0,8366.0,9011.0,9334.0,10135.0,11253.0,11879.0,12673.0,13580.0,13947.0,15351.0,16499.0,18609.0,20284.0,22077.0,24023.0,26966.0,29442.0,33013.0,35490.0,38854.0,43301.0,48298.0,56155.0,66194.0,78157.0,82980.0,93808.0,110921.0,130081.0,161504.0,199061.0,267336.0,342200.0,353757.0,422856.0,501332.0,608433.0,424864.0,509596.0,653582.0,825295.0,1132734.0,1026075.0,671429.0,476112.0,342107.0,265286.0,210448.0,165914.0,135242.0,114139.0,97121.0,85247.0,73791.0,65681.0,57628.0,51646.0,45565.0,40919.0,37140.0,34118.0,30535.0,28034.0,25586.0,23299.0,21383.0,20255.0,18621.0,17479.0,16243.0,15122.0,13937.0,12903.0,11757.0,11017.0,10408.0,9520.0,8913.0,8434.0,7833.0,7437.0,6813.0,6303.0,6148.0,5481.0,5148.0,4824.0,4457.0,4130.0,3778.0,3441.0,3231.0,2754.0,2469.0,2270.0,1911.0,1672.0,1384.0,1185.0,862.0,658.0,365.0,136.0],[119.0,386.0,661.0,884.0,1148.0,1521.0,1756.0,2052.0,2401.0,2758.0,3005.0,3571.0,3555.0,3592.0,3882.0,4205.0,4681.0,4963.0,5245.0,5581.0,5882.0,6451.0,6730.0,7216.0,7983.0,8203.0,8921.0,9593.0,9929.0,10538.0,11799.0,12790.0,13249.0,14034.0,14714.0,16413.0,17982.0,19876.0,21579.0,23811.0,26055.0,29044.0,32291.0,35144.0,38163.0,42440.0,47083.0,53966.0,60884.0,74761.0,81851.0,94327.0,113413.0,136387.0,166046.0,199760.0,258859.0,333387.0,397936.0,437369.0,475326.0,511856.0,324190.0,316487.0,579040.0,821409.0,1083186.0,922090.0,642400.0,430220.0,333980.0,258059.0,205133.0,167408.0,137181.0,114080.0,96417.0,82941.0,70873.0,62083.0,55399.0,49502.0,44159.0,39396.0,35682.0,32695.0,29193.0,26272.0,24401.0,22573.0,21162.0,19614.0,20057.0,16810.0,15608.0,14460.0,13703.0,12585.0,11560.0,10850.0,10021.0,9697.0,8889.0,8265.0,7528.0,7231.0,6814.0,6332.0,5921.0,5520.0,5259.0,4750.0,4468.0,4212.0,3852.0,3519.0,3149.0,2709.0,2563.0,2191.0,2122.0,1704.0,1375.0,1173.0,890.0,719.0,372.0,119.0],[127.0,378.0,697.0,1025.0,1185.0,1426.0,1690.0,2091.0,2348.0,2709.0,3009.0,3351.0,3581.0,3752.0,3789.0,4274.0,4643.0,4974.0,5072.0,5651.0,5838.0,6395.0,6702.0,7193.0,7682.0,8332.0,8608.0,9158.0,9756.0,10659.0,11410.0,12061.0,12792.0,13945.0,14678.0,16192.0,17736.0,19137.0,20628.0,22763.0,25485.0,27907.0,30661.0,34143.0,37465.0,41421.0,46993.0,52271.0,59513.0,71074.0,83630.0,92652.0,109165.0,127379.0,158070.0,201037.0,249572.0,305344.0,387928.0,482302.0,597607.0,529536.0,286959.0,154046.0,234544.0,401937.0,574773.0,687286.0,537869.0,400631.0,304228.0,243669.0,194669.0,160426.0,132590.0,112069.0,94188.0,80002.0,68479.0,60116.0,52510.0,46754.0,42007.0,38078.0,34426.0,31518.0,28650.0,25814.0,23709.0,22056.0,20352.0,18883.0,17541.0,16166.0,15036.0,13988.0,13265.0,12236.0,11431.0,10802.0,10066.0,9311.0,8621.0,7778.0,7665.0,7091.0,6638.0,6221.0,5693.0,5564.0,5235.0,4718.0,4271.0,4045.0,3883.0,3474.0,3158.0,2709.0,2474.0,2152.0,1900.0,1650.0,1440.0,1148.0,958.0,680.0,350.0,114.0],[151.0,399.0,623.0,928.0,1138.0,1451.0,1743.0,2067.0,2299.0,2854.0,3072.0,3150.0,3359.0,3839.0,3998.0,4230.0,4452.0,4956.0,5112.0,5309.0,5786.0,5980.0,6306.0,6822.0,7509.0,8122.0,8639.0,9156.0,9768.0,10405.0,11236.0,12170.0,12976.0,13853.0,14767.0,16449.0,17436.0,18968.0,20351.0,22611.0,24733.0,27370.0,30114.0,33274.0,36669.0,39811.0,46465.0,53312.0,62844.0,71048.0,82394.0,89743.0,102730.0,121660.0,155519.0,200285.0,241732.0,302148.0,379759.0,454125.0,516579.0,517644.0,319672.0,90879.0,101994.0,150882.0,220911.0,285265.0,334466.0,341191.0,284465.0,240924.0,193808.0,157415.0,129698.0,108668.0,91728.0,78386.0,67108.0,58508.0,51139.0,45554.0,41274.0,36723.0,33050.0,30215.0,27325.0,24808.0,22817.0,21170.0,19294.0,17817.0,16495.0,15571.0,14600.0,13513.0,12701.0,11702.0,11205.0,10258.0,9731.0,9069.0,8474.0,7878.0,7414.0,7036.0,6269.0,6107.0,5831.0,5414.0,5011.0,4653.0,4384.0,3864.0,3724.0,3392.0,3201.0,2732.0,2512.0,2160.0,1986.0,1692.0,1419.0,1183.0,882.0,628.0,363.0,143.0],[125.0,372.0,603.0,940.0,1173.0,1434.0,1765.0,1974.0,2314.0,2657.0,2901.0,3062.0,3347.0,3660.0,4169.0,4412.0,4596.0,4772.0,5218.0,5486.0,5886.0,6248.0,6401.0,7015.0,7536.0,8029.0,8631.0,9069.0,9721.0,10240.0,11164.0,11979.0,12760.0,13585.0,14673.0,16218.0,17540.0,18316.0,19784.0,21828.0,23639.0,26449.0,29173.0,32962.0,37195.0,41560.0,46509.0,52111.0,58130.0,66481.0,75617.0,89172.0,102971.0,125571.0,152884.0,182149.0,220904.0,280531.0,358000.0,392866.0,433866.0,406218.0,228042.0,214899.0,167153.0,198376.0,326767.0,353767.0,341869.0,331786.0,286102.0,233908.0,183961.0,152562.0,123859.0,101445.0,87124.0,75579.0,64587.0,56652.0,49812.0,44594.0,39804.0,35703.0,32415.0,28948.0,26224.0,23893.0,22060.0,20792.0,19175.0,17748.0,16080.0,14860.0,14496.0,13356.0,12589.0,11620.0,10733.0,9941.0,9381.0,8872.0,8347.0,7765.0,7148.0,6567.0,6352.0,6119.0,5726.0,5224.0,5055.0,4720.0,4233.0,3935.0,3685.0,3345.0,3012.0,2777.0,2315.0,2129.0,1946.0,1718.0,1304.0,1140.0,926.0,645.0,351.0,120.0],[138.0,351.0,626.0,958.0,1201.0,1420.0,1764.0,2042.0,2270.0,2558.0,2887.0,3122.0,3499.0,3741.0,4004.0,4345.0,4621.0,4844.0,5056.0,5341.0,5791.0,6115.0,6366.0,6778.0,7278.0,7698.0,8185.0,8949.0,9228.0,9719.0,10827.0,11993.0,12501.0,12934.0,13879.0,15575.0,16654.0,18016.0,19582.0,20875.0,23397.0,27030.0,30706.0,33473.0,36040.0,40259.0,44097.0,49579.0,56145.0,62653.0,73681.0,89151.0,101506.0,116311.0,139266.0,165130.0,197527.0,253161.0,292975.0,361683.0,393058.0,481656.0,473660.0,479673.0,447121.0,471820.0,333696.0,364886.0,347926.0,324420.0,289006.0,232339.0,178371.0,144019.0,118211.0,97106.0,83238.0,71577.0,62870.0,54876.0,48395.0,42691.0,38132.0,34685.0,30796.0,27998.0,25677.0,23258.0,23450.0,20054.0,18583.0,16886.0,15697.0,15021.0,14183.0,12923.0,11999.0,11044.0,10358.0,9943.0,9110.0,8501.0,8104.0,7305.0,7102.0,6743.0,6241.0,5885.0,5574.0,5240.0,4829.0,4409.0,4281.0,3935.0,3624.0,3378.0,3269.0,2788.0,2351.0,2176.0,1833.0,1627.0,1331.0,1138.0,916.0,713.0,349.0,107.0],[143.0,398.0,643.0,922.0,1179.0,1434.0,1749.0,2093.0,2343.0,2630.0,2966.0,3152.0,3404.0,3594.0,3966.0,4139.0,4580.0,5039.0,5180.0,5426.0,5470.0,5910.0,6351.0,6700.0,7098.0,7492.0,8022.0,8579.0,9103.0,10027.0,10737.0,11539.0,12155.0,12870.0,12965.0,14716.0,16485.0,18136.0,19925.0,21982.0,23349.0,26029.0,28270.0,31413.0,34822.0,38749.0,43470.0,49733.0,56476.0,65015.0,72696.0,81498.0,94757.0,117993.0,130803.0,145324.0,171981.0,221810.0,276584.0,345024.0,457029.0,509738.0,575421.0,710805.0,532001.0,404201.0,310246.0,344232.0,348001.0,362749.0,287522.0,194648.0,152670.0,134550.0,113904.0,97479.0,82083.0,70482.0,60649.0,53050.0,46706.0,41302.0,37247.0,33376.0,30355.0,27406.0,24808.0,22407.0,20973.0,19301.0,18152.0,16614.0,15831.0,14538.0,13456.0,12499.0,11814.0,11126.0,10382.0,9717.0,8979.0,8486.0,8055.0,7468.0,6945.0,6406.0,6119.0,5898.0,5483.0,5014.0,4638.0,4427.0,4065.0,3770.0,3479.0,3326.0,3030.0,2777.0,2432.0,2102.0,1857.0,1605.0,1424.0,1119.0,940.0,662.0,405.0,107.0],[115.0,374.0,640.0,912.0,1212.0,1415.0,1765.0,2029.0,2384.0,2525.0,2894.0,3019.0,3390.0,3725.0,3854.0,4204.0,4318.0,4761.0,5185.0,5475.0,5870.0,6190.0,6399.0,6634.0,6985.0,7579.0,7938.0,8439.0,9272.0,9916.0,10572.0,11330.0,11784.0,12936.0,14431.0,15314.0,16475.0,17371.0,18353.0,19635.0,22594.0,24690.0,26245.0,30648.0,35004.0,39175.0,44414.0,48436.0,54463.0,60157.0,68734.0,79245.0,96252.0,112671.0,130228.0,148655.0,173441.0,217078.0,268973.0,353426.0,447685.0,531866.0,513272.0,406748.0,380723.0,223829.0,131689.0,226879.0,324531.0,320131.0,249720.0,187260.0,146849.0,127347.0,111129.0,94941.0,81138.0,68801.0,58715.0,51940.0,45648.0,40634.0,36070.0,32640.0,29289.0,26531.0,23894.0,22174.0,20519.0,19042.0,17366.0,15797.0,14753.0,14341.0,13312.0,12230.0,11282.0,10737.0,9930.0,9581.0,8991.0,8351.0,7874.0,7344.0,6800.0,6535.0,5953.0,5698.0,5172.0,5032.0,4676.0,4403.0,4064.0,3917.0,3478.0,3298.0,2970.0,2665.0,2398.0,2162.0,1942.0,1609.0,1411.0,1198.0,982.0,677.0,364.0,122.0],[126.0,521.0,624.0,851.0,1242.0,1509.0,1787.0,2017.0,2266.0,2655.0,2932.0,3136.0,3283.0,3642.0,3920.0,4292.0,4440.0,4829.0,4918.0,5448.0,5828.0,6134.0,6677.0,6997.0,7379.0,7531.0,7680.0,8182.0,8907.0,9557.0,10403.0,11659.0,12532.0,13994.0,15153.0,15919.0,16718.0,17007.0,17979.0,19694.0,22169.0,24332.0,27487.0,30667.0,33898.0,37295.0,41985.0,45887.0,51578.0,58783.0,66250.0,80224.0,93926.0,106690.0,123543.0,144171.0,165498.0,201705.0,273614.0,347555.0,372073.0,460675.0,532858.0,384667.0,356249.0,222545.0,266465.0,279780.0,258676.0,232108.0,184374.0,163519.0,137167.0,121378.0,106123.0,92165.0,80209.0,68040.0,57753.0,50480.0,44287.0,39277.0,35437.0,31356.0,28495.0,25972.0,23483.0,21977.0,20169.0,18381.0,16805.0,15796.0,14806.0,13731.0,12952.0,12295.0,11307.0,10515.0,9973.0,9266.0,8669.0,8034.0,7743.0,7280.0,6987.0,6350.0,5883.0,5668.0,5165.0,4959.0,4689.0,4362.0,4115.0,3745.0,3440.0,3304.0,3021.0,2646.0,2386.0,2133.0,1882.0,1646.0,1374.0,1107.0,918.0,621.0,366.0,132.0],[120.0,882.0,643.0,914.0,1241.0,1544.0,1699.0,2013.0,2248.0,2575.0,2715.0,2987.0,3144.0,3501.0,3752.0,4304.0,4411.0,4786.0,4940.0,5352.0,5636.0,6008.0,6560.0,6781.0,7221.0,7537.0,7923.0,8372.0,9396.0,10358.0,11002.0,11761.0,12355.0,13322.0,14169.0,15544.0,16167.0,17508.0,18851.0,20216.0,22034.0,24145.0,26182.0,28747.0,32878.0,35505.0,39160.0,42714.0,49104.0,57073.0,64761.0,76193.0,86794.0,94915.0,117385.0,139640.0,159445.0,212374.0,277416.0,343849.0,413487.0,495401.0,447575.0,451938.0,443211.0,390124.0,415924.0,335072.0,301058.0,232070.0,153730.0,132291.0,131996.0,108174.0,96128.0,83496.0,73066.0,63893.0,55459.0,49272.0,43538.0,38393.0,33853.0,30997.0,28049.0,25252.0,23075.0,21212.0,19306.0,17787.0,16404.0,15448.0,14550.0,13462.0,12472.0,11820.0,11118.0,10451.0,9519.0,8884.0,8323.0,7925.0,7513.0,7173.0,6770.0,6407.0,6025.0,5481.0,5274.0,4887.0,4546.0,4232.0,4037.0,3682.0,3420.0,3193.0,2907.0,2661.0,2346.0,2106.0,1887.0,1666.0,1409.0,1177.0,887.0,588.0,354.0,119.0],[114.0,650.0,649.0,900.0,1250.0,1465.0,1696.0,2039.0,2224.0,2416.0,2712.0,3028.0,3231.0,3302.0,3739.0,3886.0,4170.0,4564.0,4849.0,5063.0,5318.0,5821.0,6558.0,6867.0,7205.0,7851.0,8285.0,8859.0,9509.0,9891.0,10723.0,11697.0,12374.0,12933.0,13841.0,15127.0,16225.0,17580.0,18999.0,20276.0,21741.0,23453.0,25337.0,27783.0,31371.0,34097.0,37555.0,44556.0,50170.0,53970.0,62105.0,72312.0,81572.0,90112.0,109651.0,135520.0,164512.0,212317.0,267587.0,324812.0,402667.0,476203.0,530694.0,484481.0,368209.0,377226.0,391024.0,327647.0,292151.0,243027.0,148861.0,128257.0,120878.0,105181.0,85220.0,73257.0,62386.0,57057.0,51268.0,46507.0,41478.0,37442.0,33370.0,30068.0,26938.0,25172.0,22822.0,20422.0,18970.0,17407.0,16683.0,15056.0,14232.0,13233.0,12310.0,11314.0,10626.0,10163.0,9460.0,9045.0,8440.0,8031.0,7614.0,7060.0,6712.0,6196.0,6034.0,5425.0,5112.0,4845.0,4662.0,4307.0,3852.0,3710.0,3467.0,3139.0,2936.0,2652.0,2406.0,2123.0,1855.0,1609.0,1447.0,1126.0,930.0,592.0,345.0,109.0],[124.0,417.0,668.0,872.0,1282.0,1539.0,1737.0,1919.0,2148.0,2438.0,2735.0,3048.0,3147.0,3290.0,3565.0,3840.0,4179.0,4481.0,4836.0,5163.0,5355.0,5811.0,6480.0,6895.0,7323.0,7640.0,8165.0,8285.0,9021.0,9535.0,10478.0,11518.0,12234.0,12774.0,13683.0,14098.0,15527.0,17258.0,18857.0,20116.0,21692.0,22653.0,24626.0,26471.0,30131.0,33728.0,38584.0,42180.0,45548.0,51705.0,61654.0,70061.0,79811.0,87359.0,105667.0,123889.0,160875.0,205090.0,254404.0,312075.0,372846.0,421459.0,488342.0,480639.0,397966.0,331882.0,416581.0,364662.0,326275.0,247233.0,181666.0,135356.0,114020.0,94033.0,77103.0,67787.0,57870.0,50120.0,46703.0,43227.0,38104.0,35124.0,32631.0,29370.0,26690.0,24583.0,22336.0,20312.0,18936.0,17243.0,15918.0,14509.0,13977.0,12615.0,11896.0,11101.0,10415.0,9858.0,9299.0,8628.0,8133.0,7911.0,7238.0,6799.0,6431.0,6255.0,6472.0,5458.0,5103.0,4789.0,4526.0,4193.0,3951.0,3718.0,3421.0,3053.0,2939.0,2680.0,2449.0,2039.0,1934.0,1636.0,1384.0,1138.0,875.0,647.0,387.0,129.0],[120.0,392.0,671.0,919.0,1192.0,1456.0,1852.0,1988.0,2220.0,2522.0,2694.0,2932.0,3122.0,3567.0,3526.0,3832.0,4220.0,4508.0,4815.0,5366.0,5684.0,6171.0,6326.0,6761.0,6899.0,6787.0,7314.0,8229.0,8872.0,9187.0,9814.0,11181.0,11726.0,12653.0,12996.0,13596.0,14381.0,15956.0,17723.0,19302.0,20850.0,22122.0,25087.0,28295.0,31007.0,34015.0,36906.0,40310.0,43568.0,51207.0,59161.0,67351.0,74469.0,86419.0,105561.0,126274.0,154370.0,194464.0,240728.0,283396.0,332164.0,360445.0,432881.0,486029.0,313215.0,301811.0,316478.0,337067.0,288475.0,232469.0,184902.0,122906.0,97490.0,82265.0,73403.0,66381.0,54295.0,46789.0,45027.0,41638.0,38488.0,34513.0,30688.0,28050.0,26307.0,24044.0,22042.0,20094.0,18241.0,16875.0,15812.0,14528.0,13554.0,12683.0,11948.0,13008.0,10825.0,9593.0,9411.0,8633.0,8354.0,7647.0,7109.0,6912.0,6494.0,6212.0,5650.0,5375.0,5042.0,4799.0,4539.0,4162.0,4238.0,3588.0,3366.0,3219.0,2908.0,2595.0,2538.0,2168.0,1824.0,1647.0,1383.0,1197.0,820.0,647.0,363.0,124.0],[126.0,405.0,645.0,923.0,1147.0,1488.0,1865.0,2106.0,2182.0,2471.0,2727.0,2900.0,3175.0,3347.0,3541.0,3880.0,4224.0,4629.0,5202.0,5386.0,5577.0,5966.0,6198.0,6866.0,7061.0,6928.0,6768.0,7519.0,8117.0,8820.0,9655.0,10468.0,11207.0,12155.0,12771.0,13654.0,14408.0,15627.0,17648.0,19696.0,21191.0,22980.0,24509.0,26723.0,29351.0,32243.0,35123.0,38236.0,44254.0,51128.0,58296.0,66832.0,76633.0,87708.0,105474.0,128910.0,155107.0,175505.0,223015.0,267394.0,305144.0,330477.0,365004.0,330010.0,236416.0,256073.0,281167.0,235331.0,188506.0,186939.0,183543.0,162148.0,109757.0,69470.0,67108.0,55343.0,46042.0,42335.0,44567.0,41575.0,38213.0,34949.0,30823.0,27877.0,25436.0,23557.0,21793.0,19603.0,18102.0,16695.0,15401.0,14261.0,13252.0,12507.0,11391.0,10732.0,10192.0,9539.0,9181.0,8253.0,7999.0,7592.0,6993.0,6529.0,6343.0,5895.0,5772.0,5513.0,5048.0,4579.0,4359.0,4197.0,3746.0,3584.0,3314.0,3260.0,2847.0,2500.0,2385.0,2094.0,1876.0,1622.0,1411.0,1120.0,798.0,579.0,362.0,139.0],[107.0,357.0,659.0,858.0,1207.0,1416.0,1753.0,2207.0,2441.0,2503.0,2756.0,2880.0,3093.0,3379.0,3807.0,4085.0,4378.0,4719.0,4840.0,5182.0,5630.0,6020.0,6206.0,6376.0,6772.0,7057.0,6900.0,7519.0,8070.0,8739.0,9577.0,10034.0,11130.0,12235.0,12912.0,13675.0,14563.0,15935.0,17439.0,18660.0,20423.0,22027.0,24002.0,26759.0,29038.0,31022.0,34260.0,37430.0,42263.0,49167.0,56903.0,66956.0,76264.0,90993.0,106392.0,122499.0,151541.0,179605.0,210909.0,250047.0,269050.0,235317.0,210749.0,272352.0,232368.0,162663.0,247827.0,222530.0,179838.0,180367.0,169439.0,140407.0,96517.0,71483.0,70659.0,60659.0,51173.0,46656.0,39452.0,40508.0,37805.0,34408.0,30495.0,27110.0,24298.0,22983.0,21572.0,19480.0,17748.0,16205.0,15137.0,14089.0,13160.0,12168.0,11401.0,10662.0,9826.0,9446.0,8857.0,8187.0,7802.0,7186.0,7029.0,6562.0,6289.0,5788.0,5588.0,5366.0,4899.0,4786.0,4383.0,4189.0,3789.0,3677.0,3557.0,3152.0,2935.0,2540.0,2451.0,2127.0,1857.0,1646.0,1347.0,1097.0,850.0,625.0,342.0,108.0],[125.0,400.0,693.0,905.0,1493.0,1438.0,1792.0,2004.0,2321.0,2622.0,2888.0,3062.0,3376.0,3575.0,3846.0,4034.0,4344.0,4801.0,4955.0,5276.0,5543.0,5866.0,6021.0,6376.0,6733.0,7194.0,7298.0,7801.0,8355.0,8871.0,9573.0,10572.0,11260.0,11625.0,12455.0,13501.0,14657.0,16043.0,17266.0,18441.0,19829.0,20938.0,23542.0,25998.0,28669.0,30973.0,34451.0,38639.0,43645.0,50779.0,57449.0,64605.0,73685.0,87325.0,106595.0,126119.0,147226.0,171929.0,204968.0,233394.0,264017.0,267358.0,225501.0,262639.0,318065.0,264827.0,249256.0,212169.0,152503.0,168938.0,163520.0,149925.0,113128.0,90342.0,71629.0,59965.0,44010.0,49944.0,45399.0,41024.0,36377.0,33090.0,30405.0,27373.0,24074.0,21610.0,20950.0,19138.0,17739.0,16222.0,14880.0,13782.0,12940.0,11953.0,11177.0,10581.0,9716.0,9203.0,8804.0,8243.0,7679.0,7388.0,6977.0,6416.0,6270.0,6158.0,5484.0,5353.0,4910.0,4688.0,4274.0,4016.0,3794.0,3478.0,3372.0,3005.0,2854.0,2565.0,2339.0,2075.0,1956.0,1638.0,1316.0,1056.0,812.0,593.0,374.0,128.0],[138.0,359.0,663.0,847.0,1127.0,1396.0,1703.0,2038.0,2286.0,2607.0,2871.0,3352.0,3607.0,3669.0,3827.0,4097.0,4349.0,4826.0,5032.0,5394.0,5537.0,6051.0,6247.0,6713.0,6739.0,7065.0,7121.0,7643.0,8393.0,8936.0,9381.0,10145.0,10848.0,11522.0,12639.0,13476.0,14919.0,15630.0,16675.0,18248.0,20144.0,21001.0,22843.0,25477.0,27875.0,30716.0,34547.0,39166.0,45148.0,52071.0,58714.0,66359.0,75817.0,86746.0,103331.0,123086.0,146371.0,162510.0,198912.0,228964.0,258694.0,237272.0,286627.0,349869.0,420646.0,310299.0,172672.0,157105.0,164218.0,192172.0,160512.0,139365.0,112216.0,95849.0,84016.0,73075.0,60301.0,52640.0,43505.0,41130.0,36366.0,32748.0,29567.0,26426.0,23347.0,20962.0,19596.0,18761.0,17608.0,16215.0,14806.0,13730.0,12678.0,11781.0,11242.0,10380.0,9840.0,9114.0,8410.0,8358.0,7639.0,7176.0,6843.0,6681.0,6085.0,5734.0,5533.0,5108.0,4754.0,4531.0,4337.0,4058.0,3719.0,3446.0,3297.0,3002.0,2843.0,2593.0,2406.0,2086.0,1931.0,1642.0,1305.0,947.0,817.0,644.0,405.0,127.0],[157.0,356.0,612.0,831.0,1130.0,1433.0,1639.0,1945.0,2335.0,2722.0,2974.0,3158.0,3384.0,3492.0,3701.0,4023.0,4247.0,4693.0,5127.0,5333.0,5544.0,5803.0,6085.0,6425.0,6844.0,6955.0,7323.0,7718.0,8257.0,8909.0,9615.0,10308.0,11256.0,11784.0,13040.0,13719.0,14571.0,15536.0,16407.0,17549.0,18806.0,20246.0,21689.0,23190.0,26707.0,30012.0,33244.0,39164.0,53127.0,47963.0,55345.0,63737.0,73505.0,86223.0,102812.0,119903.0,140947.0,165941.0,187135.0,218619.0,245127.0,251943.0,293983.0,319895.0,351172.0,265040.0,139859.0,164557.0,155662.0,157555.0,166131.0,142721.0,109494.0,92216.0,79954.0,72009.0,60855.0,52028.0,44535.0,37047.0,34366.0,30635.0,27209.0,25157.0,22168.0,20496.0,18737.0,17970.0,16797.0,15684.0,14661.0,13220.0,12352.0,11502.0,11013.0,10245.0,9689.0,8906.0,8466.0,8004.0,7455.0,7184.0,6756.0,6380.0,6063.0,5927.0,5361.0,5090.0,4774.0,4418.0,4293.0,3932.0,3669.0,3598.0,3137.0,3059.0,2719.0,2561.0,2321.0,2065.0,1788.0,1601.0,1297.0,1032.0,815.0,580.0,367.0,133.0],[112.0,375.0,675.0,835.0,1155.0,1458.0,1670.0,2090.0,2436.0,2532.0,2937.0,3143.0,3358.0,3527.0,3729.0,4021.0,4209.0,4604.0,4734.0,5253.0,5491.0,5705.0,5817.0,6225.0,6212.0,6645.0,7167.0,7493.0,7798.0,8349.0,8879.0,9591.0,10319.0,11021.0,11992.0,12588.0,13666.0,14623.0,15499.0,16998.0,18370.0,20047.0,21604.0,23275.0,26988.0,30058.0,33300.0,38356.0,59012.0,56256.0,53481.0,60140.0,68132.0,78664.0,93766.0,110768.0,125521.0,155243.0,177818.0,209246.0,251500.0,277486.0,327400.0,267836.0,308604.0,277604.0,212750.0,229463.0,204193.0,195241.0,162721.0,136159.0,108836.0,86441.0,77016.0,67605.0,58678.0,51529.0,46126.0,42452.0,35256.0,28355.0,25712.0,23750.0,21938.0,19437.0,18162.0,16833.0,16216.0,15007.0,13741.0,12893.0,12172.0,11530.0,10870.0,10170.0,9204.0,9098.0,8547.0,7980.0,7535.0,7103.0,6824.0,6282.0,5920.0,5746.0,5439.0,5042.0,4577.0,4353.0,4229.0,3910.0,3713.0,3538.0,3196.0,2955.0,2781.0,2601.0,2653.0,2039.0,1644.0,1519.0,1240.0,1020.0,880.0,610.0,354.0,108.0],[124.0,403.0,641.0,891.0,1148.0,1388.0,1778.0,2129.0,2540.0,2525.0,2822.0,3134.0,3185.0,3483.0,3605.0,4009.0,4227.0,4683.0,4989.0,5022.0,5140.0,5502.0,5707.0,5923.0,6133.0,6601.0,6917.0,7255.0,7672.0,8093.0,8712.0,8980.0,9991.0,10800.0,11476.0,11994.0,12848.0,14069.0,14769.0,15929.0,17262.0,19150.0,20797.0,22819.0,25487.0,28511.0,32069.0,36532.0,41866.0,46669.0,52875.0,60469.0,69530.0,78922.0,93373.0,104195.0,117974.0,138190.0,167061.0,207339.0,242516.0,263746.0,314364.0,267307.0,258407.0,239623.0,227264.0,220688.0,208389.0,180218.0,165560.0,129177.0,110457.0,82424.0,67310.0,61145.0,58083.0,51091.0,45332.0,40258.0,34959.0,29004.0,24588.0,22395.0,20706.0,17818.0,17282.0,15934.0,16230.0,15022.0,13265.0,12610.0,12152.0,11296.0,10567.0,9882.0,9403.0,8981.0,8546.0,8093.0,7432.0,7196.0,6634.0,6255.0,5831.0,5810.0,5391.0,4952.0,4695.0,4411.0,4212.0,4000.0,3734.0,3459.0,3256.0,2976.0,2707.0,2589.0,2392.0,1891.0,1709.0,1434.0,1275.0,1083.0,830.0,612.0,391.0,104.0],[130.0,402.0,645.0,873.0,1098.0,1417.0,1768.0,2039.0,2271.0,2525.0,2869.0,3156.0,3327.0,3423.0,3636.0,3945.0,4174.0,4370.0,4508.0,4822.0,5223.0,5402.0,5556.0,6034.0,6272.0,6609.0,6870.0,7134.0,7712.0,7981.0,8488.0,9072.0,9806.0,10481.0,10937.0,11976.0,12701.0,13509.0,14339.0,15754.0,16976.0,18649.0,20426.0,22739.0,25026.0,27333.0,30920.0,34955.0,39828.0,44210.0,50292.0,58209.0,65746.0,75291.0,90567.0,101958.0,112488.0,133607.0,156544.0,188293.0,224353.0,278912.0,327822.0,265954.0,279604.0,306309.0,255309.0,189200.0,172185.0,156469.0,137495.0,115643.0,96261.0,71785.0,62245.0,61077.0,58083.0,49086.0,41379.0,41101.0,36108.0,32107.0,28916.0,25157.0,23501.0,21324.0,19160.0,18328.0,16792.0,15611.0,13777.0,12781.0,11888.0,11051.0,10705.0,10182.0,9287.0,9012.0,8228.0,7830.0,7415.0,7142.0,6734.0,6306.0,5844.0,5679.0,5449.0,4982.0,4555.0,4452.0,4129.0,3963.0,3523.0,3446.0,3215.0,3072.0,2840.0,2504.0,2259.0,1914.0,1701.0,1539.0,1280.0,1013.0,856.0,597.0,360.0,139.0],[144.0,402.0,564.0,887.0,1115.0,1483.0,1780.0,2073.0,2273.0,2648.0,2975.0,3050.0,3455.0,3488.0,3560.0,3933.0,3945.0,4356.0,4675.0,4956.0,6362.0,5487.0,5683.0,5965.0,6097.0,6406.0,6797.0,7128.0,7670.0,8052.0,8687.0,8977.0,9652.0,10185.0,10932.0,11704.0,12444.0,13169.0,13880.0,15180.0,16640.0,18565.0,20338.0,22275.0,24667.0,27029.0,30487.0,34697.0,39251.0,43917.0,50044.0,57377.0,64249.0,72062.0,85382.0,98558.0,110860.0,134324.0,167975.0,192906.0,232733.0,267643.0,293575.0,257919.0,298140.0,317949.0,287686.0,194646.0,171903.0,134564.0,118580.0,104171.0,84994.0,71903.0,70727.0,64376.0,56024.0,52114.0,46213.0,40412.0,36031.0,32800.0,29168.0,26039.0,23588.0,21726.0,19964.0,18490.0,17209.0,15696.0,14070.0,12684.0,11751.0,10787.0,10325.0,9914.0,9210.0,8678.0,8307.0,7765.0,7210.0,7097.0,6501.0,6032.0,5937.0,5767.0,5222.0,4999.0,4629.0,4395.0,4172.0,3901.0,3726.0,3515.0,3239.0,3055.0,2655.0,2387.0,2190.0,1918.0,1808.0,1505.0,1241.0,1067.0,782.0,620.0,367.0,122.0],[135.0,348.0,621.0,843.0,1135.0,1516.0,1766.0,1906.0,2382.0,2597.0,2872.0,3194.0,3376.0,3467.0,3367.0,3654.0,4048.0,4206.0,4515.0,4753.0,5090.0,5318.0,5484.0,5739.0,5975.0,6157.0,6681.0,7000.0,7624.0,7973.0,8394.0,8624.0,9209.0,9982.0,10642.0,11398.0,11853.0,12649.0,13365.0,14897.0,16328.0,41530.0,20696.0,21881.0,24280.0,27255.0,30362.0,34623.0,39024.0,43698.0,50374.0,57459.0,64333.0,72083.0,83488.0,96507.0,110972.0,132907.0,163368.0,186572.0,220892.0,256257.0,254929.0,199078.0,181949.0,279051.0,251335.0,196127.0,153776.0,104270.0,75337.0,96944.0,89356.0,74568.0,75373.0,65329.0,57911.0,51140.0,45376.0,40643.0,35639.0,31498.0,28435.0,25988.0,23751.0,21468.0,19623.0,18127.0,16839.0,15705.0,14086.0,12660.0,11127.0,10737.0,10464.0,10103.0,9359.0,8903.0,8300.0,7711.0,7200.0,7017.0,6388.0,6132.0,5881.0,5561.0,5354.0,4864.0,4558.0,4342.0,4108.0,3963.0,3712.0,3489.0,3165.0,2905.0,2768.0,2469.0,2206.0,1861.0,1707.0,1538.0,1257.0,1099.0,810.0,640.0,383.0,125.0],[181.0,387.0,674.0,953.0,1196.0,1415.0,1772.0,2022.0,2259.0,2468.0,2753.0,3172.0,3510.0,3489.0,3305.0,3373.0,3928.0,4215.0,4440.0,4781.0,5059.0,5162.0,5543.0,6025.0,5847.0,6163.0,6680.0,6771.0,7400.0,7792.0,8250.0,8792.0,9336.0,9823.0,10799.0,11020.0,11538.0,12288.0,13007.0,14575.0,16658.0,18022.0,19728.0,21876.0,24019.0,26911.0,30155.0,34494.0,38913.0,44262.0,49330.0,57100.0,63895.0,71410.0,83259.0,94762.0,111855.0,133945.0,159520.0,187817.0,212320.0,233202.0,234954.0,212956.0,223709.0,262197.0,255895.0,186200.0,165818.0,119305.0,115045.0,102151.0,86267.0,78394.0,77078.0,66629.0,58567.0,50664.0,43993.0,39018.0,34543.0,30729.0,28529.0,25956.0,23570.0,21036.0,19501.0,17981.0,16617.0,15735.0,14103.0,12665.0,11209.0,10675.0,10138.0,9760.0,9407.0,8686.0,8243.0,7631.0,7158.0,6814.0,6338.0,6238.0,5835.0,5630.0,5443.0,4883.0,4727.0,4439.0,4083.0,4079.0,3942.0,3267.0,3057.0,3352.0,2623.0,2511.0,2232.0,1860.0,1712.0,1479.0,1313.0,1021.0,772.0,594.0,367.0,116.0],[249.0,360.0,606.0,882.0,1171.0,1389.0,1694.0,1985.0,2147.0,2600.0,2829.0,3174.0,3388.0,3420.0,3335.0,3582.0,3893.0,4075.0,4360.0,4625.0,4794.0,5381.0,5366.0,5728.0,6056.0,6486.0,6583.0,6561.0,7328.0,7639.0,8252.0,8676.0,8934.0,9858.0,10499.0,10893.0,11495.0,11927.0,12964.0,14775.0,16271.0,17964.0,19834.0,21699.0,23840.0,25557.0,29140.0,34499.0,39105.0,43751.0,49396.0,56102.0,63044.0,71655.0,83744.0,93363.0,110529.0,127619.0,143464.0,172403.0,182826.0,175931.0,178924.0,182251.0,203171.0,177724.0,192456.0,173401.0,153578.0,122818.0,104801.0,97960.0,87796.0,81065.0,75200.0,67101.0,58337.0,51475.0,44275.0,37647.0,34090.0,30612.0,27735.0,25662.0,23295.0,20829.0,19409.0,17891.0,16409.0,15908.0,14020.0,12562.0,11431.0,10682.0,10271.0,9816.0,9166.0,8637.0,8026.0,7595.0,7142.0,6960.0,6547.0,6284.0,5959.0,5614.0,5353.0,4853.0,4551.0,4474.0,4247.0,3926.0,3654.0,3356.0,3020.0,2856.0,2492.0,2556.0,2208.0,1904.0,1693.0,1491.0,1243.0,1058.0,887.0,558.0,369.0,122.0],[425.0,366.0,628.0,897.0,1222.0,1414.0,1668.0,2010.0,2343.0,2545.0,2875.0,3139.0,3163.0,3375.0,3478.0,3838.0,3911.0,4082.0,4421.0,4692.0,4930.0,5175.0,5480.0,5783.0,6162.0,6177.0,6647.0,6656.0,7186.0,7920.0,8267.0,8633.0,8923.0,9678.0,10124.0,10874.0,11546.0,11789.0,13501.0,14309.0,16130.0,17796.0,19189.0,21091.0,22816.0,26141.0,29052.0,33857.0,38968.0,44479.0,49842.0,56419.0,63617.0,70404.0,84662.0,93257.0,112716.0,121364.0,134504.0,149206.0,157525.0,156985.0,144599.0,110095.0,97579.0,154252.0,201579.0,180953.0,157226.0,140039.0,99901.0,82626.0,86674.0,82087.0,75025.0,67617.0,59580.0,52311.0,45517.0,38020.0,33447.0,30554.0,27449.0,25988.0,23275.0,20942.0,18883.0,17627.0,15733.0,14616.0,13072.0,11199.0,11128.0,11423.0,9978.0,9390.0,8950.0,8450.0,7966.0,7525.0,7172.0,6766.0,6527.0,6302.0,5813.0,5643.0,5164.0,5037.0,4718.0,4444.0,4150.0,3838.0,3618.0,3369.0,3036.0,2858.0,2521.0,2462.0,2191.0,1788.0,1644.0,1422.0,1280.0,1151.0,897.0,604.0,337.0,125.0],[985.0,366.0,665.0,914.0,1130.0,1327.0,1618.0,1870.0,2298.0,2595.0,2873.0,2980.0,3122.0,3436.0,3607.0,3798.0,3891.0,4234.0,4366.0,4632.0,4806.0,5022.0,5386.0,5672.0,6118.0,6159.0,6509.0,6745.0,7147.0,7578.0,8368.0,8822.0,9154.0,9741.0,10340.0,10623.0,11057.0,11973.0,13271.0,14209.0,16359.0,17397.0,18974.0,21054.0,23438.0,25996.0,29437.0,33889.0,39325.0,43733.0,49783.0,56032.0,62622.0,71923.0,81735.0,89823.0,109802.0,120970.0,124187.0,134300.0,153466.0,147305.0,139193.0,111848.0,121052.0,219954.0,213013.0,188972.0,163820.0,126910.0,100226.0,94560.0,89720.0,82889.0,75034.0,68696.0,57102.0,52496.0,46680.0,40744.0,35537.0,31547.0,28665.0,26248.0,23758.0,21560.0,19472.0,17663.0,16062.0,15202.0,13708.0,11933.0,11041.0,10330.0,9552.0,9408.0,9359.0,8688.0,8073.0,7736.0,7251.0,6719.0,6540.0,6222.0,6008.0,5678.0,5280.0,5047.0,4775.0,4378.0,3968.0,3823.0,3491.0,3200.0,3038.0,2818.0,2682.0,2405.0,2146.0,1935.0,1714.0,1512.0,1356.0,1027.0,837.0,614.0,363.0,122.0],[2422.0,376.0,624.0,948.0,1167.0,1437.0,1667.0,1860.0,2146.0,2555.0,2916.0,2937.0,3127.0,3242.0,3659.0,3814.0,3870.0,4145.0,4485.0,4588.0,4904.0,5027.0,5462.0,5755.0,5911.0,6196.0,6467.0,6765.0,7298.0,7560.0,7988.0,8419.0,8932.0,9587.0,9859.0,10417.0,10349.0,12102.0,13230.0,14197.0,15678.0,16985.0,18433.0,20359.0,22655.0,25133.0,28768.0,33824.0,38492.0,43478.0,49212.0,54900.0,61468.0,71208.0,81195.0,91624.0,107303.0,121994.0,122824.0,145070.0,160143.0,146522.0,145715.0,116744.0,158802.0,210244.0,227745.0,189244.0,163514.0,143381.0,107754.0,98470.0,87790.0,77472.0,68604.0,61393.0,51692.0,48802.0,44751.0,39446.0,35378.0,32430.0,29668.0,26607.0,24234.0,20878.0,19094.0,17802.0,16409.0,15032.0,12972.0,11633.0,10855.0,10600.0,9841.0,9696.0,9320.0,8716.0,8303.0,7685.0,7290.0,6870.0,6606.0,6274.0,6028.0,5557.0,5148.0,5011.0,4598.0,4316.0,4080.0,3807.0,3609.0,3279.0,3014.0,2836.0,2646.0,2490.0,2164.0,2028.0,1729.0,1485.0,1277.0,1017.0,802.0,571.0,379.0,112.0],[4529.0,401.0,663.0,934.0,1186.0,1326.0,1614.0,1861.0,2174.0,2501.0,2735.0,2919.0,3114.0,3210.0,3520.0,3856.0,4063.0,4300.0,4453.0,4717.0,5052.0,5179.0,5562.0,5708.0,5965.0,6282.0,6504.0,6832.0,7278.0,7669.0,7605.0,8140.0,8848.0,9168.0,9607.0,10259.0,10010.0,11756.0,12638.0,13522.0,15260.0,16438.0,18157.0,19756.0,21445.0,23948.0,26547.0,32512.0,37005.0,40114.0,45229.0,52823.0,59495.0,69681.0,82079.0,91604.0,109412.0,116877.0,122152.0,146052.0,156338.0,145311.0,143564.0,150060.0,219448.0,195646.0,155168.0,164585.0,159086.0,130907.0,99669.0,92039.0,78623.0,72614.0,64581.0,62326.0,53433.0,47915.0,43028.0,39687.0,36196.0,32290.0,29007.0,25280.0,25062.0,21555.0,19448.0,17876.0,16483.0,14891.0,13176.0,11984.0,11489.0,11006.0,10416.0,9908.0,9336.0,8981.0,8153.0,7686.0,7401.0,7082.0,6646.0,6208.0,5904.0,5581.0,5221.0,4910.0,4523.0,4309.0,4001.0,3640.0,3627.0,3251.0,3203.0,2920.0,2814.0,2418.0,2059.0,1943.0,1716.0,1452.0,1258.0,1053.0,793.0,565.0,395.0,116.0],[3798.0,376.0,625.0,893.0,1117.0,1430.0,1616.0,1768.0,2121.0,2534.0,2571.0,2829.0,3023.0,3285.0,3319.0,3824.0,4197.0,4245.0,4493.0,4789.0,5142.0,5287.0,5606.0,5651.0,6056.0,6293.0,6568.0,6605.0,7182.0,7501.0,7886.0,7978.0,8331.0,8930.0,9278.0,9363.0,10403.0,11988.0,12765.0,13215.0,14294.0,15708.0,17716.0,20190.0,21935.0,24281.0,26847.0,30423.0,34174.0,39476.0,44547.0,48813.0,53113.0,68005.0,81762.0,93629.0,105145.0,108904.0,119761.0,139503.0,156126.0,164083.0,154252.0,150787.0,179451.0,167074.0,153225.0,156094.0,149811.0,125075.0,103523.0,96668.0,78135.0,70665.0,62299.0,59341.0,53367.0,47073.0,40815.0,37120.0,33096.0,31345.0,28206.0,24614.0,22731.0,20649.0,18797.0,17453.0,16628.0,14449.0,12949.0,11787.0,11422.0,10737.0,10134.0,9256.0,8912.0,8311.0,7835.0,7388.0,6981.0,6591.0,6320.0,6155.0,5871.0,5497.0,5034.0,4718.0,4502.0,4265.0,4096.0,3750.0,3422.0,3190.0,2995.0,2761.0,2647.0,2366.0,2219.0,1998.0,1796.0,1488.0,1292.0,1039.0,807.0,578.0,363.0,109.0],[1699.0,377.0,655.0,839.0,1157.0,1310.0,1616.0,1861.0,2192.0,2418.0,2532.0,2850.0,2959.0,3184.0,3413.0,3808.0,3944.0,4231.0,4633.0,4843.0,4971.0,5277.0,5562.0,5779.0,6046.0,6363.0,6716.0,6858.0,7025.0,7353.0,7931.0,8314.0,8569.0,8994.0,9163.0,9659.0,11157.0,12028.0,12961.0,13388.0,13252.0,15448.0,17772.0,19266.0,21392.0,23662.0,24761.0,27344.0,30602.0,36278.0,43113.0,47280.0,55893.0,56818.0,76779.0,80643.0,84336.0,90344.0,121137.0,147359.0,152517.0,159111.0,153621.0,143131.0,163733.0,182894.0,173852.0,137474.0,141918.0,129306.0,112616.0,96064.0,81998.0,75349.0,66203.0,58343.0,53632.0,48199.0,43455.0,39164.0,34688.0,31089.0,27882.0,25074.0,22601.0,20192.0,18042.0,15868.0,14882.0,14243.0,12977.0,11838.0,11270.0,10317.0,9725.0,9239.0,8807.0,8513.0,7712.0,7477.0,6859.0,6479.0,6381.0,5838.0,5705.0,5315.0,5002.0,4712.0,4608.0,4190.0,3993.0,3872.0,3443.0,3204.0,2984.0,2700.0,2607.0,2151.0,2086.0,1887.0,1770.0,1492.0,1270.0,994.0,794.0,608.0,352.0,137.0],[655.0,359.0,631.0,862.0,1088.0,1365.0,1533.0,1707.0,2213.0,2396.0,2537.0,2777.0,3024.0,3123.0,3452.0,3632.0,4024.0,4204.0,4530.0,4849.0,5115.0,5464.0,5647.0,5898.0,5985.0,6287.0,6727.0,6938.0,6981.0,7255.0,7955.0,8103.0,8622.0,9318.0,9602.0,10391.0,11396.0,11923.0,12829.0,11300.0,12326.0,14384.0,17595.0,19683.0,21423.0,23111.0,23883.0,26100.0,24661.0,23409.0,30852.0,40111.0,54258.0,63560.0,73807.0,63848.0,70042.0,77673.0,99893.0,124787.0,144750.0,166074.0,172236.0,151651.0,170678.0,199959.0,191388.0,175329.0,161529.0,133881.0,116417.0,98861.0,84606.0,76958.0,66551.0,58587.0,52863.0,47697.0,43825.0,38228.0,33336.0,29778.0,26001.0,24076.0,22106.0,19797.0,18059.0,16190.0,14848.0,13512.0,12804.0,11693.0,11373.0,10456.0,9914.0,9178.0,8685.0,8292.0,7884.0,7359.0,7099.0,6619.0,6334.0,6076.0,5476.0,5115.0,4840.0,4624.0,4466.0,4227.0,4132.0,3904.0,3416.0,3215.0,2948.0,2785.0,2543.0,2196.0,2038.0,2162.0,1698.0,1485.0,1306.0,968.0,787.0,642.0,369.0,112.0],[327.0,359.0,626.0,878.0,1090.0,1405.0,1602.0,1791.0,2152.0,2267.0,2539.0,2806.0,2908.0,3249.0,3455.0,3658.0,3932.0,4234.0,4489.0,4933.0,5019.0,5483.0,5648.0,6063.0,6004.0,6475.0,6799.0,6990.0,7175.0,7608.0,7541.0,8064.0,8337.0,8963.0,9709.0,10464.0,11458.0,11549.0,12382.0,13955.0,14868.0,15495.0,16596.0,19024.0,21729.0,25030.0,27711.0,31214.0,35263.0,38957.0,37398.0,41379.0,55786.0,66848.0,79211.0,85018.0,96887.0,61460.0,82524.0,115914.0,136811.0,174020.0,191962.0,221498.0,207502.0,179397.0,197117.0,167729.0,149417.0,133376.0,116235.0,106298.0,90334.0,73964.0,62536.0,54492.0,49430.0,45163.0,41510.0,38346.0,33526.0,29036.0,25939.0,22951.0,21575.0,20018.0,18192.0,16507.0,15076.0,14175.0,12784.0,11729.0,11384.0,10709.0,9985.0,9207.0,8758.0,8222.0,7785.0,7329.0,6877.0,6777.0,6471.0,5856.0,5264.0,5157.0,4761.0,4566.0,4340.0,4175.0,3999.0,3727.0,3466.0,3160.0,3004.0,2837.0,2574.0,2345.0,2027.0,1937.0,1586.0,1586.0,1408.0,1005.0,757.0,556.0,364.0,116.0],[210.0,390.0,650.0,920.0,1064.0,1346.0,1583.0,1785.0,2164.0,2314.0,2451.0,2736.0,2901.0,3068.0,3379.0,3665.0,3984.0,4190.0,4526.0,4613.0,4851.0,5251.0,5478.0,5880.0,6085.0,6479.0,6828.0,7035.0,7498.0,7656.0,7885.0,7987.0,8134.0,8597.0,9502.0,10312.0,11358.0,11544.0,12877.0,14148.0,15755.0,16643.0,17845.0,18916.0,21179.0,22669.0,27342.0,31750.0,37653.0,44726.0,48559.0,47585.0,54915.0,66961.0,79025.0,83579.0,85976.0,70038.0,71317.0,99504.0,121712.0,164554.0,198342.0,221138.0,245983.0,206722.0,195919.0,174923.0,154694.0,128374.0,109061.0,102678.0,84322.0,72292.0,64681.0,55972.0,50194.0,45684.0,40627.0,37273.0,33327.0,28837.0,25756.0,23039.0,20802.0,19653.0,18464.0,16720.0,15311.0,14231.0,12967.0,12204.0,11318.0,10660.0,10024.0,9371.0,8398.0,8298.0,7741.0,7452.0,7390.0,7082.0,6548.0,5603.0,5370.0,5250.0,4877.0,4767.0,4266.0,4012.0,3837.0,3594.0,3469.0,3168.0,2917.0,2604.0,2454.0,2264.0,2089.0,1877.0,1646.0,1437.0,1353.0,1049.0,813.0,551.0,340.0,126.0],[175.0,340.0,618.0,947.0,1090.0,1427.0,1548.0,1827.0,2201.0,2334.0,2410.0,2734.0,2887.0,3097.0,3243.0,3511.0,3804.0,4029.0,4388.0,4629.0,4955.0,5137.0,5534.0,5744.0,5964.0,6326.0,6902.0,7161.0,7520.0,7739.0,7993.0,8106.0,8240.0,8543.0,8927.0,9656.0,9952.0,10521.0,11943.0,13936.0,15308.0,16988.0,18308.0,19407.0,21388.0,23163.0,27452.0,33863.0,39742.0,43123.0,48560.0,50921.0,39670.0,60140.0,69390.0,73441.0,85066.0,76268.0,81453.0,97496.0,117611.0,148416.0,167905.0,194677.0,221807.0,202044.0,190557.0,167226.0,140996.0,124075.0,110747.0,101976.0,87839.0,74662.0,64767.0,55701.0,50174.0,44344.0,40769.0,36706.0,32892.0,29342.0,25232.0,22739.0,19822.0,18491.0,18180.0,16578.0,15454.0,14079.0,12909.0,12345.0,11386.0,10617.0,9963.0,9246.0,8552.0,8265.0,7747.0,7502.0,7040.0,6705.0,6078.0,5670.0,5441.0,5160.0,4944.0,4600.0,4276.0,4085.0,3820.0,3559.0,3310.0,3225.0,3159.0,2612.0,2493.0,2198.0,2030.0,1852.0,1628.0,1474.0,1252.0,1086.0,787.0,574.0,380.0,111.0],[143.0,414.0,646.0,867.0,1069.0,1246.0,1660.0,1759.0,2126.0,2119.0,2391.0,2668.0,2821.0,2990.0,3310.0,3429.0,3692.0,4052.0,4123.0,4519.0,4852.0,5231.0,5459.0,5916.0,5993.0,6423.0,6742.0,7245.0,7657.0,7940.0,8197.0,8291.0,8749.0,8166.0,8461.0,9383.0,9130.0,8733.0,10230.0,12509.0,14465.0,15830.0,18219.0,19718.0,20847.0,24819.0,29273.0,33382.0,37995.0,40741.0,40631.0,49217.0,43864.0,46301.0,54636.0,64923.0,72154.0,73300.0,95954.0,107329.0,125003.0,157909.0,163093.0,165647.0,172061.0,149729.0,165570.0,165699.0,143636.0,126352.0,112079.0,98984.0,86721.0,73451.0,64373.0,56292.0,49183.0,44218.0,40393.0,35578.0,31278.0,28573.0,24783.0,22240.0,20621.0,18476.0,17205.0,16989.0,15541.0,14140.0,12631.0,11937.0,11240.0,10416.0,9857.0,9121.0,8573.0,8140.0,7933.0,7406.0,7157.0,6437.0,6154.0,5764.0,5472.0,5172.0,5039.0,4665.0,4139.0,3991.0,3891.0,3588.0,3343.0,3161.0,3071.0,2633.0,2649.0,2398.0,2132.0,1901.0,1584.0,1448.0,1296.0,1054.0,759.0,577.0,346.0,138.0],[145.0,359.0,679.0,880.0,1045.0,1381.0,1632.0,1802.0,2104.0,2181.0,2419.0,2608.0,2982.0,2971.0,3222.0,3354.0,3783.0,3859.0,4259.0,4382.0,4757.0,5011.0,5315.0,5721.0,5830.0,6332.0,6524.0,7231.0,7353.0,7743.0,8031.0,8261.0,8567.0,8684.0,8342.0,9298.0,10241.0,10144.0,10718.0,12093.0,13236.0,14996.0,16596.0,19066.0,21041.0,23225.0,27488.0,30907.0,30703.0,36106.0,45248.0,44513.0,38700.0,37840.0,42027.0,70545.0,80305.0,90040.0,105352.0,120832.0,129783.0,143418.0,152540.0,163851.0,173661.0,122204.0,135217.0,150020.0,132978.0,112565.0,109779.0,98871.0,85323.0,71745.0,61975.0,54725.0,48586.0,43483.0,39438.0,35569.0,31824.0,28694.0,25473.0,23069.0,20777.0,18881.0,17177.0,16254.0,15645.0,13925.0,12941.0,11989.0,11180.0,10453.0,9986.0,9379.0,8612.0,8217.0,7749.0,7509.0,6759.0,6237.0,6015.0,5776.0,5623.0,5342.0,4662.0,4407.0,4210.0,4023.0,3871.0,3522.0,3352.0,3236.0,2801.0,2742.0,2532.0,2307.0,2030.0,1787.0,1656.0,1428.0,1174.0,1095.0,830.0,608.0,321.0,132.0],[132.0,386.0,665.0,881.0,1067.0,1368.0,1603.0,1774.0,2096.0,2094.0,2484.0,2643.0,2811.0,3028.0,3136.0,3469.0,3676.0,3943.0,4298.0,4451.0,4700.0,4960.0,5136.0,5837.0,6058.0,6474.0,6611.0,6958.0,6886.0,7528.0,7995.0,8458.0,8722.0,9000.0,8945.0,9666.0,10371.0,10973.0,10872.0,12045.0,13442.0,15297.0,17804.0,18886.0,21385.0,22799.0,23181.0,25744.0,30637.0,35179.0,40220.0,45485.0,43255.0,51576.0,48827.0,64963.0,71381.0,82325.0,93640.0,114313.0,142008.0,158830.0,142070.0,146154.0,166788.0,175596.0,158505.0,139163.0,124741.0,118044.0,106443.0,93665.0,82898.0,71070.0,62508.0,55202.0,50004.0,43717.0,40666.0,36061.0,31763.0,29041.0,26113.0,23318.0,20985.0,18900.0,17152.0,15786.0,15316.0,14352.0,12893.0,11937.0,11028.0,10389.0,9762.0,9193.0,8747.0,8196.0,7873.0,7296.0,6687.0,6358.0,5988.0,5865.0,5529.0,5133.0,4685.0,4369.0,4394.0,3900.0,3735.0,3652.0,3366.0,2912.0,2695.0,2771.0,2454.0,2241.0,2059.0,1928.0,1682.0,1488.0,1230.0,1157.0,899.0,626.0,387.0,127.0],[123.0,350.0,678.0,899.0,1150.0,1357.0,1623.0,1828.0,2049.0,2157.0,2368.0,2608.0,2912.0,2927.0,3203.0,3393.0,3576.0,3916.0,4172.0,4599.0,4680.0,4877.0,5147.0,5451.0,5881.0,6159.0,6666.0,7012.0,6936.0,7479.0,7933.0,8345.0,8690.0,9120.0,9811.0,9972.0,10327.0,10773.0,12473.0,13704.0,15925.0,16815.0,18614.0,19349.0,20305.0,20552.0,22653.0,25591.0,33472.0,32882.0,42796.0,47157.0,53935.0,62545.0,69385.0,80014.0,88292.0,89833.0,92014.0,86217.0,121982.0,142974.0,129613.0,120573.0,162306.0,191910.0,179547.0,142108.0,125663.0,112764.0,101681.0,92574.0,82489.0,71032.0,61027.0,55043.0,49392.0,44973.0,40668.0,36060.0,32189.0,29183.0,25547.0,22954.0,21090.0,18979.0,17483.0,15983.0,15126.0,14083.0,12973.0,12076.0,11467.0,10461.0,9804.0,9174.0,8793.0,8673.0,7711.0,7173.0,6730.0,6376.0,6162.0,5942.0,5574.0,5365.0,4833.0,4519.0,4269.0,4013.0,3887.0,3635.0,3363.0,2949.0,2897.0,2517.0,2601.0,2327.0,2023.0,1837.0,1631.0,1414.0,1243.0,995.0,860.0,640.0,367.0,142.0],[144.0,411.0,634.0,873.0,1105.0,1290.0,1626.0,1751.0,2124.0,2102.0,2433.0,2583.0,2879.0,3073.0,3138.0,3369.0,3595.0,3951.0,4132.0,4580.0,4689.0,4791.0,5018.0,5597.0,5747.0,6103.0,6357.0,6713.0,6974.0,7655.0,8006.0,8507.0,8869.0,9303.0,10263.0,10537.0,10949.0,11849.0,13136.0,14507.0,16219.0,16939.0,17606.0,17705.0,18036.0,20267.0,22502.0,27115.0,29741.0,36607.0,40354.0,44028.0,55418.0,62701.0,67983.0,73980.0,85408.0,92667.0,86177.0,94054.0,104620.0,133337.0,126617.0,125110.0,165595.0,194245.0,177276.0,124873.0,117693.0,111295.0,106778.0,92536.0,82139.0,71560.0,62475.0,55598.0,50192.0,45188.0,40826.0,36715.0,32425.0,31458.0,25842.0,23371.0,21126.0,19221.0,17621.0,16459.0,14732.0,14219.0,12962.0,11958.0,11265.0,10480.0,9813.0,9369.0,8943.0,8223.0,7543.0,7055.0,6898.0,6599.0,6061.0,5847.0,5587.0,5244.0,4769.0,4551.0,4398.0,4005.0,3851.0,3571.0,3109.0,3025.0,2841.0,2541.0,2407.0,2412.0,2145.0,1965.0,1762.0,1435.0,1230.0,1033.0,821.0,641.0,361.0,148.0],[128.0,376.0,606.0,888.0,1133.0,1344.0,1601.0,1830.0,2004.0,2236.0,2239.0,2493.0,2761.0,2907.0,3152.0,3294.0,3620.0,3756.0,4061.0,4363.0,4643.0,4812.0,5262.0,5554.0,5614.0,5870.0,6050.0,6527.0,6951.0,7342.0,7740.0,8118.0,8713.0,9233.0,10034.0,10860.0,11351.0,11502.0,12448.0,13496.0,15149.0,16782.0,17792.0,18662.0,20483.0,21636.0,25834.0,28472.0,33469.0,35735.0,42873.0,47479.0,54196.0,58647.0,67333.0,74535.0,82585.0,93158.0,108218.0,132804.0,121022.0,111375.0,142525.0,144998.0,164657.0,193928.0,177741.0,128242.0,136389.0,122412.0,108041.0,95476.0,81818.0,70941.0,62508.0,55551.0,50762.0,45770.0,41280.0,36303.0,32615.0,29179.0,25831.0,23458.0,21071.0,19243.0,17613.0,16187.0,14452.0,14285.0,12784.0,12069.0,11398.0,10587.0,9845.0,9431.0,8882.0,8169.0,7894.0,7337.0,6865.0,6381.0,6030.0,5548.0,5616.0,5192.0,4797.0,4667.0,4371.0,4086.0,3869.0,3515.0,3129.0,3082.0,2756.0,2491.0,2407.0,2348.0,2077.0,1942.0,1639.0,1421.0,1246.0,1008.0,898.0,568.0,340.0,111.0],[135.0,429.0,657.0,910.0,1045.0,1275.0,1607.0,1732.0,2064.0,2238.0,2361.0,2571.0,2741.0,2888.0,3110.0,3356.0,3587.0,3796.0,4121.0,4470.0,4545.0,4820.0,5203.0,5440.0,5737.0,5853.0,6080.0,6611.0,6776.0,7332.0,8209.0,8613.0,9146.0,9514.0,10253.0,10844.0,10753.0,11078.0,12193.0,12978.0,14489.0,15446.0,17816.0,20004.0,22469.0,25637.0,29314.0,32013.0,32781.0,40000.0,44552.0,49678.0,52044.0,59975.0,69215.0,82196.0,94936.0,103314.0,119123.0,138395.0,135176.0,151777.0,156078.0,138054.0,162500.0,189713.0,153860.0,148761.0,137877.0,124979.0,111706.0,99801.0,84879.0,73010.0,62979.0,55269.0,50352.0,45120.0,40502.0,36366.0,32884.0,29476.0,25435.0,23207.0,21057.0,19423.0,17737.0,16094.0,14659.0,14253.0,13092.0,12240.0,11360.0,10492.0,10282.0,9503.0,8510.0,8166.0,7666.0,7005.0,6549.0,6275.0,5964.0,5746.0,5529.0,5283.0,4777.0,4655.0,4395.0,4044.0,3866.0,3451.0,3169.0,2881.0,2768.0,2570.0,2387.0,2271.0,2119.0,1841.0,1648.0,1589.0,1229.0,1006.0,764.0,609.0,372.0,123.0],[111.0,398.0,606.0,826.0,1119.0,1249.0,1555.0,1791.0,2055.0,2235.0,2283.0,2542.0,2683.0,2997.0,3202.0,3271.0,3609.0,3690.0,4110.0,4381.0,4547.0,4466.0,5032.0,5452.0,5545.0,5814.0,5987.0,6626.0,7038.0,7487.0,8067.0,8840.0,9588.0,9815.0,10081.0,10491.0,10164.0,10760.0,11410.0,13278.0,15269.0,16395.0,17427.0,19432.0,22793.0,27400.0,30807.0,35054.0,39030.0,43433.0,47907.0,52295.0,49702.0,56060.0,60687.0,75889.0,81233.0,97558.0,120844.0,142935.0,157369.0,144601.0,126427.0,114442.0,99934.0,142312.0,143420.0,138497.0,144533.0,129385.0,113190.0,96664.0,83690.0,71925.0,62575.0,54689.0,49047.0,44861.0,40008.0,36052.0,32204.0,29222.0,25791.0,23326.0,21264.0,19353.0,17804.0,15978.0,14522.0,14203.0,13254.0,12490.0,11697.0,10569.0,10322.0,9228.0,8423.0,8012.0,7450.0,7362.0,7009.0,6291.0,5982.0,5905.0,5382.0,5106.0,5092.0,4707.0,4310.0,3777.0,3570.0,3482.0,3304.0,2878.0,2813.0,2530.0,2495.0,2182.0,2102.0,1937.0,1616.0,1493.0,1225.0,979.0,802.0,566.0,354.0,122.0],[134.0,349.0,584.0,815.0,1107.0,1360.0,1586.0,1749.0,2022.0,2246.0,2271.0,2520.0,2714.0,3013.0,3259.0,3275.0,3547.0,3746.0,3958.0,4262.0,4456.0,4577.0,5040.0,5283.0,5632.0,5764.0,5980.0,6548.0,6851.0,7734.0,8444.0,9002.0,9630.0,9771.0,9957.0,10175.0,10693.0,12377.0,13823.0,14995.0,16751.0,18044.0,18912.0,20779.0,23408.0,27373.0,31550.0,36574.0,42423.0,45614.0,50338.0,54635.0,53300.0,55700.0,63628.0,71027.0,91343.0,104981.0,119603.0,151887.0,174357.0,150913.0,107257.0,103302.0,136741.0,178488.0,169527.0,159164.0,144806.0,129797.0,107212.0,93760.0,83276.0,72261.0,62037.0,55715.0,49283.0,45045.0,40280.0,36266.0,32321.0,29278.0,26083.0,23516.0,21435.0,19722.0,18208.0,16343.0,15133.0,14358.0,13093.0,12372.0,11595.0,11005.0,9938.0,9161.0,8512.0,8048.0,7578.0,7273.0,6888.0,6263.0,6144.0,5972.0,5665.0,5339.0,4928.0,4320.0,4220.0,3950.0,3737.0,3410.0,3270.0,2881.0,2779.0,2549.0,2398.0,2232.0,2162.0,1891.0,1680.0,1468.0,1305.0,988.0,835.0,621.0,328.0,118.0],[116.0,395.0,633.0,799.0,1093.0,1259.0,1528.0,1845.0,2023.0,2304.0,2297.0,2569.0,2675.0,2912.0,3241.0,3329.0,3449.0,3788.0,3944.0,4180.0,4433.0,4738.0,5116.0,5427.0,5560.0,5955.0,6132.0,6664.0,7436.0,8021.0,8306.0,8762.0,9365.0,9769.0,10478.0,11115.0,12214.0,13516.0,15447.0,16612.0,16901.0,18739.0,20811.0,23570.0,24685.0,27875.0,32913.0,37744.0,42158.0,45141.0,50993.0,55924.0,45766.0,61891.0,74696.0,85177.0,98210.0,111668.0,122380.0,157531.0,159365.0,131376.0,145657.0,151751.0,168893.0,193100.0,169668.0,151696.0,143830.0,133091.0,114547.0,96570.0,82880.0,70500.0,61870.0,55389.0,50054.0,45768.0,40661.0,35838.0,32220.0,28971.0,26401.0,23845.0,21962.0,19978.0,17867.0,16326.0,15112.0,14248.0,13446.0,12964.0,11960.0,10504.0,9471.0,9188.0,8496.0,7959.0,7737.0,7285.0,7009.0,6593.0,6187.0,5990.0,5722.0,5178.0,4646.0,4334.0,4199.0,3900.0,3703.0,3446.0,3251.0,3010.0,2660.0,2529.0,2386.0,2158.0,2186.0,2031.0,1681.0,1524.0,1251.0,982.0,812.0,594.0,378.0,127.0],[131.0,396.0,633.0,850.0,1131.0,1296.0,1481.0,1802.0,2005.0,2255.0,2393.0,2550.0,2731.0,2998.0,3087.0,3508.0,3566.0,3627.0,4006.0,4203.0,4644.0,4733.0,5061.0,5307.0,5575.0,6123.0,6351.0,6801.0,7347.0,7824.0,8281.0,8645.0,9400.0,9945.0,10801.0,11507.0,12481.0,14188.0,15246.0,16301.0,17328.0,19302.0,21898.0,23813.0,25915.0,28576.0,32629.0,37269.0,41436.0,46113.0,51730.0,58739.0,62421.0,63531.0,72462.0,77605.0,95008.0,106378.0,125956.0,159422.0,163459.0,164267.0,180378.0,168714.0,176879.0,172051.0,169345.0,162905.0,152273.0,136473.0,116333.0,97804.0,80001.0,67903.0,62859.0,56239.0,50586.0,46113.0,40573.0,35992.0,31994.0,28796.0,25986.0,23794.0,21700.0,19839.0,17644.0,16695.0,15594.0,14369.0,13391.0,12509.0,11014.0,10467.0,9570.0,9086.0,8561.0,8126.0,7736.0,7481.0,6805.0,6773.0,6446.0,5932.0,5394.0,5181.0,4853.0,4442.0,4180.0,3896.0,3613.0,3483.0,3206.0,3105.0,2818.0,2601.0,2353.0,2260.0,2143.0,1884.0,1687.0,1514.0,1250.0,980.0,805.0,660.0,413.0,100.0],[115.0,366.0,656.0,829.0,1051.0,1294.0,1552.0,1742.0,2018.0,2314.0,2386.0,2553.0,2758.0,2942.0,3193.0,3450.0,3558.0,3764.0,4018.0,4214.0,4343.0,4748.0,5089.0,5295.0,5810.0,6320.0,6578.0,6780.0,7288.0,7597.0,8074.0,8903.0,9730.0,10434.0,11235.0,12223.0,12951.0,13964.0,15114.0,16338.0,17990.0,19200.0,21628.0,23955.0,26157.0,29152.0,32821.0,35222.0,41146.0,46178.0,51561.0,59510.0,64753.0,65590.0,65070.0,72203.0,74871.0,97632.0,131009.0,155269.0,166960.0,197421.0,208652.0,191972.0,142215.0,160243.0,174647.0,167331.0,152539.0,135418.0,115637.0,94069.0,74146.0,69048.0,62851.0,56378.0,51153.0,45774.0,40728.0,36844.0,32542.0,29134.0,26560.0,23973.0,21517.0,19609.0,17803.0,16792.0,16076.0,14523.0,13427.0,12371.0,11008.0,10422.0,9638.0,9018.0,8358.0,8207.0,7738.0,7476.0,7249.0,6741.0,6134.0,5551.0,5274.0,5059.0,4746.0,4432.0,4035.0,4047.0,3669.0,3658.0,3330.0,3197.0,2805.0,2658.0,2285.0,2243.0,2252.0,1859.0,1731.0,1525.0,1288.0,1022.0,801.0,631.0,412.0,133.0],[122.0,359.0,612.0,878.0,1073.0,1292.0,1530.0,1689.0,2073.0,2304.0,2503.0,2550.0,2601.0,3019.0,3168.0,3453.0,3734.0,3892.0,4082.0,4092.0,4322.0,4814.0,5039.0,5610.0,5916.0,6141.0,6598.0,6792.0,7317.0,7923.0,8612.0,9314.0,10095.0,10600.0,11250.0,11927.0,12771.0,13438.0,14658.0,16510.0,17770.0,18947.0,20962.0,23902.0,25984.0,28567.0,32158.0,35086.0,36641.0,43480.0,48738.0,54341.0,57433.0,60915.0,59858.0,55198.0,72683.0,103011.0,129963.0,157140.0,179286.0,192606.0,191401.0,191266.0,188947.0,142344.0,178829.0,175192.0,154874.0,137695.0,114895.0,95298.0,80683.0,69771.0,62922.0,56239.0,50652.0,45448.0,41050.0,37581.0,33435.0,29483.0,26630.0,24247.0,21951.0,20010.0,18553.0,16734.0,16093.0,14611.0,13868.0,11845.0,10860.0,10087.0,9523.0,9115.0,8726.0,8305.0,7840.0,7690.0,7000.0,6392.0,5790.0,5573.0,5234.0,5103.0,4998.0,4532.0,4362.0,4044.0,3840.0,3463.0,3409.0,3012.0,2861.0,2611.0,2428.0,2258.0,2181.0,1972.0,1843.0,1487.0,1222.0,1044.0,892.0,546.0,376.0,112.0],[134.0,384.0,669.0,841.0,1065.0,1281.0,1545.0,1791.0,1955.0,2250.0,2578.0,2559.0,2747.0,3002.0,3251.0,3276.0,3792.0,3896.0,4063.0,4258.0,4576.0,4809.0,5315.0,5666.0,6029.0,6144.0,6692.0,6823.0,7097.0,8037.0,9044.0,9237.0,9915.0,10514.0,11417.0,12106.0,13172.0,14313.0,15646.0,16826.0,17451.0,19554.0,21460.0,23434.0,25340.0,27736.0,31273.0,31927.0,36509.0,38511.0,41620.0,50474.0,30753.0,36527.0,63214.0,75083.0,88720.0,118267.0,126736.0,147098.0,147467.0,154516.0,99331.0,171416.0,189995.0,194907.0,195138.0,180867.0,159710.0,136558.0,113879.0,95862.0,82558.0,73992.0,66248.0,57248.0,51289.0,46931.0,41858.0,36671.0,33075.0,29089.0,26498.0,24218.0,22015.0,19590.0,18327.0,17980.0,16324.0,15187.0,13528.0,12200.0,11075.0,10420.0,9836.0,9516.0,8949.0,8426.0,7805.0,7083.0,6703.0,6291.0,5804.0,5817.0,5387.0,5304.0,4852.0,4470.0,4133.0,4092.0,3655.0,3546.0,3375.0,3173.0,2879.0,2585.0,2327.0,2044.0,2089.0,2057.0,1832.0,1506.0,1275.0,1036.0,830.0,642.0,378.0,128.0],[127.0,424.0,634.0,872.0,1015.0,1316.0,1583.0,1743.0,1989.0,2292.0,2459.0,2806.0,2688.0,2930.0,3222.0,3386.0,3501.0,3891.0,4115.0,4343.0,4767.0,5174.0,5242.0,5616.0,6056.0,6268.0,6824.0,7333.0,7982.0,8153.0,8959.0,9597.0,10082.0,10592.0,11432.0,12137.0,13268.0,14025.0,14526.0,16209.0,17019.0,18801.0,20918.0,22602.0,25159.0,28173.0,31631.0,34424.0,40192.0,34759.0,26930.0,39770.0,48845.0,57495.0,66034.0,83353.0,102964.0,123313.0,148310.0,158587.0,154204.0,148507.0,161807.0,190153.0,206719.0,168624.0,181998.0,173161.0,155031.0,136075.0,114682.0,98130.0,85439.0,75524.0,66388.0,58486.0,53996.0,47683.0,41748.0,37010.0,32718.0,29765.0,26626.0,23702.0,21249.0,19716.0,18677.0,17219.0,16413.0,14546.0,13377.0,12304.0,11566.0,10665.0,10277.0,10083.0,8991.0,8060.0,7554.0,7140.0,6811.0,6359.0,6010.0,5656.0,5259.0,4995.0,4764.0,4553.0,4233.0,4211.0,3832.0,3763.0,3408.0,3040.0,2848.0,2644.0,2453.0,2329.0,2024.0,1966.0,1717.0,1561.0,1277.0,1072.0,779.0,643.0,374.0,92.0],[125.0,382.0,590.0,818.0,1110.0,1318.0,1589.0,1717.0,1983.0,2302.0,2497.0,2788.0,2877.0,3063.0,3234.0,3404.0,3574.0,3902.0,4076.0,4520.0,4896.0,5085.0,5303.0,5708.0,6111.0,6585.0,7169.0,7604.0,7929.0,8209.0,9072.0,9385.0,10196.0,10794.0,11643.0,12582.0,13307.0,13021.0,13895.0,16116.0,17998.0,18723.0,20191.0,22073.0,24472.0,28049.0,32055.0,34098.0,38815.0,32350.0,20005.0,45980.0,58809.0,62747.0,66742.0,75969.0,102606.0,128198.0,158802.0,169847.0,159215.0,179060.0,223060.0,217787.0,215857.0,195503.0,194777.0,175592.0,155362.0,129005.0,112482.0,97965.0,86387.0,74950.0,67841.0,61866.0,53995.0,47089.0,41507.0,37534.0,33651.0,29574.0,25980.0,23169.0,21099.0,20224.0,18779.0,17461.0,16111.0,13818.0,13150.0,12387.0,11849.0,11312.0,10069.0,9177.0,8549.0,8107.0,7700.0,7229.0,6918.0,6440.0,6229.0,5845.0,5626.0,5236.0,5020.0,4663.0,4343.0,4060.0,3835.0,3603.0,3363.0,3118.0,3102.0,2716.0,2391.0,2170.0,2045.0,2076.0,1762.0,1553.0,1324.0,1045.0,787.0,634.0,381.0,133.0],[119.0,348.0,629.0,860.0,1104.0,1324.0,1674.0,1716.0,2009.0,2308.0,2432.0,2820.0,3038.0,3057.0,3158.0,3368.0,3764.0,3968.0,4156.0,4801.0,4827.0,5238.0,5617.0,5794.0,6389.0,6649.0,7566.0,7625.0,8156.0,8252.0,8769.0,9369.0,10319.0,11228.0,12235.0,12503.0,13604.0,14184.0,15805.0,16961.0,18570.0,19352.0,20685.0,22718.0,25182.0,28387.0,32058.0,34455.0,38489.0,36100.0,33010.0,38508.0,57834.0,68202.0,61122.0,78429.0,106760.0,129055.0,146029.0,184478.0,189427.0,191259.0,192335.0,234158.0,220686.0,221431.0,205010.0,189189.0,161920.0,131220.0,110331.0,97430.0,88414.0,80863.0,71911.0,61569.0,54526.0,48284.0,42733.0,38170.0,33201.0,29073.0,25497.0,23009.0,22043.0,20374.0,20821.0,17388.0,15027.0,13994.0,13147.0,12515.0,11638.0,10472.0,9581.0,9105.0,8699.0,8316.0,7816.0,7495.0,7420.0,6838.0,6358.0,5800.0,5325.0,5157.0,5009.0,4628.0,4335.0,4136.0,3967.0,3824.0,3526.0,3165.0,3046.0,2788.0,2406.0,2390.0,2168.0,2141.0,1704.0,1466.0,1300.0,1032.0,864.0,605.0,432.0,107.0],[123.0,391.0,600.0,804.0,1079.0,1345.0,1612.0,1754.0,2033.0,2235.0,2445.0,2809.0,2992.0,3393.0,3241.0,3499.0,3699.0,4132.0,4394.0,4518.0,4789.0,5288.0,5663.0,6153.0,6522.0,7093.0,7338.0,7845.0,8189.0,8357.0,9133.0,10060.0,10560.0,11164.0,12190.0,12812.0,13614.0,14572.0,15975.0,17171.0,18929.0,20349.0,22045.0,23991.0,26194.0,28754.0,32803.0,36868.0,39186.0,44922.0,46712.0,46372.0,62833.0,69267.0,78749.0,81966.0,95533.0,108559.0,140344.0,193680.0,220097.0,236317.0,188324.0,195518.0,230033.0,242900.0,229491.0,205177.0,171737.0,140817.0,115916.0,103719.0,91917.0,79581.0,70292.0,62299.0,55216.0,49080.0,41610.0,37341.0,32710.0,29198.0,26162.0,24434.0,22215.0,20230.0,18854.0,16501.0,15597.0,14434.0,13245.0,11668.0,11024.0,10159.0,9749.0,8867.0,8382.0,7937.0,7744.0,7062.0,7237.0,6654.0,6427.0,5776.0,5470.0,5265.0,5037.0,4755.0,4494.0,4232.0,3937.0,3670.0,3417.0,3192.0,2973.0,2808.0,2482.0,2330.0,2245.0,2125.0,1699.0,1495.0,1230.0,1055.0,857.0,667.0,393.0,130.0],[129.0,354.0,601.0,877.0,1102.0,1332.0,1548.0,1778.0,1966.0,2195.0,2501.0,2758.0,3038.0,3310.0,3516.0,3648.0,3797.0,4087.0,4219.0,4636.0,4961.0,5362.0,5753.0,6431.0,6750.0,7126.0,7263.0,7944.0,8811.0,8859.0,9489.0,9789.0,10544.0,11332.0,11837.0,12750.0,13701.0,14674.0,15927.0,17295.0,19199.0,20491.0,22992.0,24580.0,26664.0,29659.0,33720.0,38374.0,43154.0,46525.0,49287.0,51912.0,67814.0,83263.0,87785.0,91116.0,109819.0,132970.0,154705.0,195868.0,216183.0,217850.0,206596.0,223532.0,246415.0,249078.0,222723.0,196433.0,171302.0,147383.0,125962.0,108407.0,94722.0,81774.0,71933.0,63318.0,55256.0,47095.0,41343.0,37148.0,32735.0,29939.0,27373.0,24350.0,22143.0,20496.0,18092.0,16479.0,15001.0,13393.0,12788.0,11958.0,11083.0,10441.0,9676.0,8840.0,8409.0,8195.0,7664.0,7264.0,7215.0,6632.0,6257.0,5917.0,5584.0,5317.0,4886.0,4659.0,4431.0,4168.0,3962.0,4339.0,3508.0,3256.0,3080.0,2823.0,2580.0,2330.0,2219.0,2072.0,1751.0,1533.0,1247.0,1063.0,866.0,672.0,357.0,141.0],[113.0,404.0,586.0,894.0,1070.0,1306.0,1554.0,1777.0,2093.0,2211.0,2443.0,2714.0,2931.0,3249.0,3429.0,3836.0,4157.0,4382.0,4581.0,4745.0,5246.0,5585.0,6244.0,6523.0,7012.0,7355.0,7717.0,8126.0,8641.0,9079.0,9435.0,9948.0,10541.0,11370.0,12076.0,12928.0,14134.0,14948.0,16104.0,17587.0,19358.0,21003.0,22959.0,25308.0,28416.0,31594.0,34654.0,39109.0,45171.0,50777.0,54955.0,61163.0,72608.0,84963.0,102707.0,118573.0,135018.0,149769.0,180299.0,188834.0,182759.0,192564.0,182316.0,203863.0,244306.0,246259.0,236971.0,211276.0,177815.0,146815.0,123476.0,109476.0,96438.0,85320.0,74610.0,63210.0,53896.0,45942.0,42160.0,38051.0,34224.0,30459.0,27364.0,24751.0,22743.0,20701.0,17934.0,16013.0,15028.0,13847.0,12736.0,11584.0,11113.0,10283.0,9345.0,8914.0,8460.0,7813.0,7357.0,7214.0,7050.0,6543.0,6357.0,5996.0,5748.0,5480.0,5144.0,4963.0,4599.0,4533.0,3957.0,3834.0,3483.0,3256.0,3097.0,2637.0,2501.0,2340.0,2205.0,2052.0,1688.0,1517.0,1269.0,1072.0,811.0,649.0,361.0,116.0],[99.0,375.0,664.0,883.0,1078.0,1325.0,1567.0,1790.0,2066.0,2206.0,2361.0,2749.0,2952.0,3157.0,3469.0,3832.0,3816.0,4295.0,4768.0,4959.0,5502.0,5730.0,6254.0,6596.0,6826.0,7280.0,7864.0,8195.0,8498.0,9144.0,9726.0,10056.0,10660.0,11391.0,12042.0,12899.0,14252.0,15348.0,16019.0,17816.0,19223.0,20742.0,23018.0,35644.0,28575.0,32041.0,36181.0,41098.0,46499.0,52753.0,60227.0,66627.0,77504.0,87123.0,102073.0,122436.0,136138.0,148296.0,163449.0,210103.0,233987.0,253982.0,259164.0,208321.0,257184.0,263113.0,245813.0,208754.0,176756.0,148298.0,127005.0,107712.0,96370.0,86270.0,72764.0,60157.0,53466.0,48401.0,44368.0,38560.0,33674.0,30634.0,27618.0,25229.0,22978.0,19266.0,17715.0,16308.0,14863.0,13668.0,12561.0,11782.0,11027.0,10275.0,9744.0,9142.0,8539.0,8327.0,9218.0,7156.0,7172.0,6570.0,6256.0,5831.0,5703.0,5604.0,5267.0,4961.0,4554.0,4315.0,4005.0,3789.0,3513.0,3269.0,3070.0,2646.0,2580.0,2293.0,2326.0,1998.0,1769.0,1534.0,1283.0,1117.0,818.0,654.0,351.0,131.0],[131.0,391.0,599.0,865.0,1103.0,1277.0,1535.0,1764.0,1930.0,2114.0,2417.0,2648.0,3025.0,3224.0,3426.0,3741.0,4055.0,4372.0,4698.0,5118.0,5266.0,5705.0,6109.0,6437.0,6862.0,7267.0,7706.0,8141.0,8715.0,9117.0,9868.0,10188.0,10620.0,11522.0,12247.0,12937.0,13963.0,15216.0,16036.0,17874.0,19560.0,21067.0,23010.0,24955.0,27888.0,31823.0,36286.0,40722.0,46561.0,53965.0,63039.0,73267.0,84265.0,97512.0,108803.0,128397.0,152749.0,171595.0,197179.0,229768.0,270649.0,282589.0,270384.0,290885.0,284420.0,275953.0,256420.0,212888.0,175448.0,149168.0,130463.0,115195.0,98295.0,80052.0,71852.0,64022.0,57671.0,50088.0,43281.0,38502.0,34445.0,31334.0,28303.0,25307.0,22072.0,19075.0,17289.0,16033.0,15034.0,13673.0,12441.0,11530.0,10979.0,9900.0,9797.0,9062.0,8574.0,7944.0,7400.0,7385.0,6986.0,6652.0,6171.0,5964.0,5556.0,5344.0,5242.0,4923.0,4598.0,4410.0,4013.0,3924.0,3679.0,3496.0,3263.0,2878.0,2582.0,2418.0,2279.0,2123.0,1740.0,1471.0,1327.0,1078.0,859.0,654.0,380.0,123.0],[129.0,433.0,693.0,863.0,1148.0,1315.0,1540.0,1793.0,2093.0,2261.0,2479.0,2718.0,2916.0,3234.0,3488.0,3888.0,4129.0,4615.0,4804.0,5041.0,5241.0,5733.0,6154.0,6444.0,6853.0,7167.0,7785.0,8364.0,8660.0,9480.0,9689.0,10215.0,10853.0,11598.0,12511.0,13420.0,14230.0,15509.0,16816.0,18113.0,19213.0,21242.0,23114.0,25602.0,28367.0,31853.0,35909.0,40639.0,46703.0,53823.0,62683.0,73243.0,85804.0,102664.0,121348.0,142287.0,168247.0,199899.0,242877.0,261067.0,255758.0,237136.0,245435.0,219877.0,215524.0,269731.0,256761.0,222899.0,186784.0,161610.0,141694.0,125496.0,104536.0,84969.0,76092.0,65848.0,57368.0,50103.0,43889.0,38491.0,34866.0,31234.0,28889.0,25793.0,21528.0,19804.0,17843.0,16453.0,14974.0,13639.0,12783.0,12210.0,10936.0,10490.0,9961.0,9260.0,8974.0,8227.0,7862.0,7606.0,7224.0,6904.0,6327.0,6007.0,5768.0,5653.0,5351.0,5025.0,4708.0,4689.0,4329.0,3963.0,3651.0,3389.0,3157.0,2814.0,2624.0,2407.0,2332.0,2097.0,1734.0,1560.0,1271.0,1068.0,847.0,662.0,393.0,133.0],[127.0,372.0,657.0,886.0,1172.0,1319.0,1509.0,1764.0,2004.0,2317.0,2486.0,2716.0,3101.0,3463.0,3636.0,4067.0,4432.0,7145.0,4947.0,4919.0,5433.0,5646.0,5863.0,6518.0,6721.0,7288.0,7764.0,8193.0,8582.0,9342.0,9871.0,10215.0,11044.0,11759.0,12588.0,13490.0,14310.0,15491.0,16973.0,18296.0,19542.0,21555.0,23452.0,26218.0,28552.0,31643.0,36029.0,41125.0,46810.0,54403.0,62109.0,72619.0,85563.0,100458.0,120619.0,145146.0,175268.0,221601.0,273177.0,310655.0,285473.0,321401.0,351248.0,286020.0,243217.0,294872.0,282362.0,244665.0,205253.0,171867.0,148017.0,126287.0,103929.0,88893.0,76827.0,66129.0,57930.0,49795.0,43092.0,38330.0,34379.0,31331.0,28917.0,24292.0,21674.0,19483.0,17937.0,16356.0,15174.0,13897.0,12516.0,11563.0,11204.0,10402.0,10134.0,9501.0,9007.0,8524.0,7833.0,7711.0,7359.0,6819.0,6433.0,6095.0,5826.0,5576.0,5287.0,4996.0,4816.0,4567.0,4190.0,4038.0,3876.0,3302.0,3150.0,2904.0,2605.0,2447.0,2435.0,2129.0,1801.0,1575.0,1263.0,1076.0,871.0,672.0,391.0,129.0],[128.0,389.0,634.0,882.0,1142.0,1354.0,1633.0,1806.0,2104.0,2355.0,2609.0,3019.0,3197.0,3488.0,3834.0,3910.0,5620.0,50559.0,4822.0,5113.0,5342.0,5744.0,6075.0,6419.0,6757.0,7744.0,7927.0,8106.0,8966.0,9272.0,9982.0,10534.0,10959.0,12233.0,12850.0,13693.0,14644.0,15743.0,17131.0,18407.0,19921.0,21600.0,23564.0,26280.0,29089.0,31971.0,35789.0,40405.0,46784.0,53424.0,61800.0,71788.0,85072.0,100867.0,119745.0,144965.0,175325.0,221343.0,278122.0,320910.0,308306.0,268201.0,277789.0,342664.0,334858.0,304877.0,282441.0,240738.0,208960.0,176341.0,152704.0,124553.0,106444.0,91912.0,77861.0,65829.0,57532.0,49555.0,43639.0,38745.0,34851.0,31987.0,27260.0,24237.0,21954.0,19766.0,18210.0,16767.0,15565.0,14182.0,12977.0,12022.0,11602.0,10897.0,10316.0,9710.0,8903.0,8564.0,8336.0,7923.0,7382.0,6999.0,6547.0,6194.0,5959.0,5590.0,5524.0,4951.0,4868.0,4659.0,4230.0,4050.0,3857.0,3505.0,3358.0,2905.0,2657.0,2448.0,2403.0,2139.0,1809.0,1605.0,1296.0,1078.0,829.0,638.0,404.0,112.0],[151.0,346.0,624.0,885.0,1107.0,1370.0,1640.0,1890.0,2155.0,2423.0,2753.0,2982.0,3108.0,3401.0,3632.0,4077.0,4325.0,4645.0,4689.0,5221.0,5588.0,6009.0,6098.0,6466.0,6986.0,7360.0,7869.0,8281.0,8993.0,9429.0,9951.0,10492.0,11379.0,12005.0,12688.0,13774.0,15124.0,16025.0,17438.0,18374.0,19528.0,21746.0,23865.0,26418.0,28869.0,32234.0,35823.0,40774.0,46387.0,53248.0,61413.0,72314.0,83562.0,100970.0,118898.0,147374.0,186723.0,237982.0,293413.0,333906.0,333384.0,337860.0,346679.0,384988.0,368337.0,328711.0,296253.0,255307.0,216295.0,182607.0,153877.0,126865.0,108695.0,92557.0,78353.0,67099.0,58452.0,49531.0,43629.0,38938.0,35520.0,32058.0,26608.0,24130.0,22271.0,20134.0,18569.0,17114.0,15391.0,14458.0,13429.0,12562.0,11602.0,11157.0,10623.0,9817.0,9052.0,8731.0,8642.0,7894.0,7617.0,6861.0,6654.0,6480.0,6092.0,5863.0,5374.0,5241.0,4887.0,4458.0,4236.0,3980.0,3815.0,3561.0,3283.0,2964.0,2700.0,2599.0,2310.0,2099.0,1830.0,1563.0,1399.0,1130.0,886.0,633.0,373.0,126.0],[106.0,383.0,622.0,873.0,1090.0,1372.0,1633.0,1859.0,2035.0,2336.0,2688.0,2819.0,3198.0,3531.0,3791.0,4021.0,4342.0,4473.0,4948.0,5262.0,5548.0,5791.0,6129.0,6617.0,6924.0,7666.0,7841.0,8400.0,9025.0,9311.0,9898.0,10385.0,11316.0,11900.0,12798.0,14091.0,14961.0,16320.0,17424.0,33889.0,20125.0,22299.0,24063.0,26068.0,29125.0,32225.0,35490.0,39997.0,46232.0,52873.0,60644.0,70249.0,84385.0,96707.0,115850.0,147835.0,183920.0,242358.0,305989.0,365560.0,395818.0,367682.0,366736.0,371156.0,404880.0,384792.0,328772.0,265814.0,226439.0,189399.0,156545.0,130351.0,108551.0,91584.0,76722.0,63813.0,53936.0,48234.0,43520.0,39423.0,36552.0,30429.0,26885.0,24396.0,21778.0,19827.0,18245.0,17363.0,15181.0,14448.0,13932.0,12702.0,11823.0,11574.0,11659.0,10065.0,9250.0,8772.0,8574.0,7938.0,7461.0,7051.0,6556.0,6267.0,6251.0,5722.0,5357.0,5060.0,4673.0,4727.0,4213.0,4068.0,3684.0,3548.0,3206.0,2836.0,2627.0,2610.0,2248.0,2050.0,1763.0,1632.0,1319.0,1085.0,863.0,635.0,376.0,131.0],[133.0,415.0,590.0,849.0,1154.0,1444.0,1645.0,1939.0,2041.0,2295.0,2551.0,2747.0,3293.0,3519.0,3720.0,3968.0,4297.0,4600.0,4867.0,5221.0,5648.0,5813.0,6334.0,6623.0,7069.0,7493.0,8172.0,8579.0,9052.0,9663.0,10055.0,10923.0,11579.0,12464.0,13141.0,14196.0,15234.0,16709.0,18044.0,19354.0,20646.0,22452.0,23985.0,26451.0,29231.0,32801.0,36035.0,39826.0,45285.0,52038.0,60546.0,69964.0,85528.0,93617.0,115911.0,141207.0,186277.0,238546.0,297734.0,349287.0,367976.0,388886.0,361568.0,376054.0,395648.0,390616.0,338235.0,287993.0,238264.0,200311.0,162417.0,133274.0,110048.0,88142.0,73139.0,60120.0,51781.0,47333.0,44693.0,41233.0,35604.0,30116.0,26824.0,24434.0,22498.0,20617.0,18961.0,17593.0,15598.0,14815.0,13721.0,13108.0,12425.0,11397.0,10568.0,9770.0,9465.0,8905.0,8478.0,8272.0,7658.0,7012.0,6743.0,6649.0,6206.0,5945.0,5442.0,5075.0,4834.0,4531.0,4325.0,3936.0,3867.0,3456.0,3206.0,2797.0,2713.0,2638.0,2339.0,2030.0,1875.0,1650.0,1307.0,1050.0,855.0,664.0,409.0,128.0],[127.0,376.0,652.0,815.0,1082.0,1412.0,1614.0,1867.0,2020.0,2332.0,2583.0,2933.0,3324.0,3403.0,3873.0,3986.0,4371.0,4692.0,5017.0,5193.0,5785.0,6102.0,6419.0,6849.0,7371.0,7673.0,8130.0,8746.0,9235.0,9960.0,10268.0,11208.0,11652.0,12444.0,13823.0,14297.0,15655.0,16828.0,18099.0,19691.0,20816.0,22866.0,24925.0,26754.0,29637.0,33151.0,36138.0,41573.0,46933.0,53305.0,62371.0,72569.0,84318.0,98623.0,115704.0,139807.0,177242.0,218331.0,278676.0,304437.0,250535.0,244416.0,358062.0,410411.0,418039.0,386632.0,341046.0,286177.0,248334.0,214601.0,172952.0,137273.0,108274.0,89233.0,73349.0,60174.0,55175.0,49078.0,44796.0,41430.0,33667.0,29972.0,26638.0,24326.0,22602.0,21189.0,19006.0,17447.0,16160.0,14847.0,13991.0,12991.0,12387.0,11720.0,10605.0,10467.0,9754.0,9000.0,8572.0,8335.0,7678.0,7180.0,6679.0,6516.0,6157.0,5698.0,5428.0,5231.0,4720.0,4573.0,4325.0,4110.0,3957.0,3498.0,3163.0,2881.0,2801.0,2699.0,2387.0,2127.0,1889.0,1510.0,1297.0,1084.0,846.0,614.0,390.0,145.0],[149.0,380.0,679.0,832.0,1138.0,1393.0,1551.0,1824.0,2106.0,2423.0,2613.0,2876.0,3353.0,3600.0,3829.0,4114.0,4417.0,4513.0,4946.0,5354.0,5788.0,6031.0,6394.0,6925.0,7533.0,7766.0,8184.0,8992.0,9499.0,9986.0,10574.0,11293.0,12318.0,13057.0,14142.0,14839.0,15764.0,16996.0,18739.0,19823.0,21094.0,23078.0,24788.0,27792.0,30178.0,33540.0,38033.0,42745.0,48306.0,55249.0,62103.0,73498.0,85747.0,101769.0,120910.0,140451.0,167830.0,210760.0,268835.0,315466.0,288792.0,242722.0,320207.0,424576.0,460577.0,423232.0,357930.0,305818.0,259865.0,212786.0,178794.0,145682.0,115873.0,90617.0,73564.0,62980.0,57351.0,51926.0,47919.0,40741.0,34786.0,30860.0,27608.0,25277.0,23322.0,21215.0,19310.0,17873.0,16508.0,15327.0,14236.0,13617.0,12607.0,11890.0,11330.0,10731.0,9832.0,9428.0,8983.0,8280.0,8073.0,7517.0,6935.0,6776.0,6132.0,5897.0,5380.0,5145.0,4816.0,4633.0,4353.0,4165.0,3979.0,3474.0,3204.0,2946.0,2842.0,2716.0,4205.0,2107.0,1890.0,1583.0,1319.0,1111.0,856.0,624.0,392.0,128.0],[127.0,388.0,609.0,943.0,1078.0,1409.0,1671.0,1862.0,2101.0,2322.0,2627.0,3031.0,3406.0,3541.0,3897.0,4085.0,4588.0,4630.0,5007.0,5540.0,5816.0,6287.0,6550.0,6963.0,7665.0,8031.0,8332.0,9120.0,9385.0,10286.0,10779.0,11370.0,12179.0,13150.0,14239.0,14942.0,16091.0,17456.0,19028.0,20192.0,21680.0,23413.0,25244.0,27679.0,30675.0,34229.0,38483.0,43325.0,49625.0,55523.0,64976.0,75166.0,88580.0,104801.0,129079.0,148996.0,168744.0,212149.0,264854.0,322355.0,351273.0,331963.0,375441.0,364323.0,393974.0,384179.0,356089.0,300541.0,241658.0,201546.0,166340.0,141293.0,113411.0,97580.0,81762.0,68993.0,59655.0,53531.0,48745.0,39813.0,35578.0,31660.0,28333.0,26344.0,24267.0,21978.0,19649.0,18031.0,16432.0,15315.0,14559.0,13798.0,12641.0,12087.0,11417.0,10655.0,10102.0,9507.0,9248.0,8488.0,7880.0,7620.0,7216.0,6939.0,6210.0,5862.0,5708.0,5139.0,5030.0,4683.0,4446.0,4506.0,4126.0,3750.0,3410.0,3365.0,3012.0,2652.0,2492.0,2115.0,1917.0,1641.0,1388.0,1107.0,837.0,608.0,367.0,109.0],[119.0,358.0,616.0,899.0,1117.0,1405.0,1662.0,1934.0,2186.0,2416.0,2661.0,3154.0,3271.0,3573.0,3834.0,4160.0,4435.0,5027.0,5120.0,5457.0,6030.0,6300.0,6584.0,7110.0,7553.0,8121.0,8301.0,8991.0,9845.0,10451.0,10803.0,11780.0,12595.0,13501.0,14238.0,15280.0,16438.0,17940.0,19216.0,20917.0,22547.0,24093.0,26096.0,29034.0,32158.0,34545.0,39252.0,44562.0,49625.0,56250.0,66253.0,76905.0,88608.0,106344.0,126311.0,157446.0,182450.0,249255.0,317496.0,335513.0,353984.0,256707.0,223254.0,320280.0,306860.0,390144.0,339437.0,283326.0,233892.0,195456.0,167643.0,143866.0,118543.0,97178.0,82934.0,73176.0,64331.0,57332.0,48434.0,40130.0,35253.0,32516.0,29429.0,26830.0,24524.0,22024.0,20143.0,18361.0,16665.0,15434.0,14662.0,13928.0,13276.0,12671.0,11716.0,11213.0,10625.0,10103.0,9384.0,8509.0,8037.0,7965.0,7485.0,6950.0,6582.0,6094.0,5614.0,5563.0,4947.0,4789.0,4608.0,4183.0,4061.0,3686.0,3600.0,3328.0,3019.0,2613.0,2408.0,2220.0,1861.0,1647.0,1367.0,1066.0,882.0,650.0,369.0,126.0],[128.0,355.0,710.0,913.0,1195.0,1428.0,1561.0,1873.0,2167.0,2380.0,2657.0,3033.0,3308.0,3656.0,3940.0,4161.0,4625.0,4914.0,5289.0,5560.0,5939.0,6344.0,6802.0,7180.0,7765.0,8180.0,8684.0,9278.0,9805.0,10486.0,11271.0,11604.0,12714.0,13579.0,14758.0,15744.0,16934.0,18328.0,19746.0,21186.0,22673.0,24628.0,26647.0,29153.0,32253.0,35727.0,40092.0,46234.0,53906.0,58236.0,67335.0,77503.0,89131.0,104008.0,120237.0,159550.0,194641.0,268370.0,330890.0,391749.0,390103.0,258671.0,255694.0,244888.0,127722.0,253845.0,308961.0,289680.0,235024.0,200642.0,166219.0,139434.0,123782.0,103402.0,85205.0,73613.0,63553.0,57134.0,48791.0,44043.0,38822.0,34294.0,30134.0,27394.0,25202.0,22855.0,20746.0,19057.0,17506.0,16121.0,15597.0,14265.0,13788.0,12979.0,12297.0,11603.0,10968.0,10258.0,9591.0,8750.0,8473.0,8116.0,7513.0,7122.0,6645.0,6304.0,5876.0,5553.0,5089.0,4925.0,4738.0,4417.0,3997.0,3944.0,3833.0,3379.0,3108.0,2697.0,2356.0,2142.0,1943.0,1650.0,1377.0,1100.0,848.0,621.0,413.0,126.0],[137.0,374.0,723.0,925.0,1136.0,1400.0,1644.0,1924.0,2219.0,2401.0,2725.0,3066.0,3245.0,3657.0,3869.0,4441.0,4688.0,4929.0,5473.0,5657.0,6093.0,6361.0,6786.0,7193.0,7758.0,8069.0,8924.0,9242.0,10225.0,10668.0,11622.0,12170.0,13164.0,14027.0,14905.0,16060.0,17275.0,18674.0,20693.0,22071.0,23386.0,25291.0,27022.0,30135.0,33212.0,36133.0,40321.0,45249.0,51780.0,58502.0,66568.0,76191.0,89592.0,103849.0,123462.0,151080.0,208470.0,263345.0,313203.0,350810.0,425435.0,331019.0,334519.0,195895.0,137454.0,198140.0,272043.0,279182.0,261848.0,225070.0,186991.0,151716.0,126940.0,109027.0,90882.0,76167.0,67289.0,57097.0,49183.0,43349.0,40850.0,36973.0,33611.0,29902.0,26209.0,23460.0,21699.0,19768.0,18277.0,17333.0,15812.0,15137.0,14042.0,13407.0,12971.0,12085.0,10891.0,10324.0,9833.0,9335.0,9021.0,8224.0,7658.0,7389.0,7145.0,6590.0,6158.0,5839.0,5431.0,5064.0,4911.0,4475.0,4322.0,4069.0,3757.0,3448.0,3011.0,2683.0,2485.0,2134.0,1933.0,1653.0,1370.0,1091.0,904.0,607.0,355.0,114.0],[138.0,391.0,639.0,915.0,1115.0,1470.0,1643.0,1928.0,2152.0,2367.0,2872.0,3052.0,3362.0,3676.0,3942.0,4384.0,4647.0,5105.0,5526.0,5694.0,5912.0,6300.0,6766.0,7356.0,7972.0,8746.0,9086.0,10081.0,10239.0,11022.0,11649.0,12390.0,13294.0,14329.0,15664.0,16368.0,17974.0,19917.0,21590.0,23380.0,24836.0,26978.0,28907.0,31405.0,35125.0,37114.0,41086.0,46278.0,52609.0,60452.0,67030.0,78168.0,91511.0,107868.0,125205.0,142803.0,165835.0,226037.0,252295.0,308906.0,474165.0,540171.0,528192.0,268094.0,128622.0,243998.0,290380.0,294043.0,278572.0,214407.0,171802.0,152019.0,130466.0,110277.0,93614.0,81944.0,69997.0,59008.0,50704.0,45202.0,40748.0,36510.0,34022.0,30640.0,28420.0,25942.0,23820.0,21106.0,19103.0,17847.0,16789.0,15251.0,14517.0,13720.0,12875.0,12062.0,10965.0,10605.0,9944.0,9442.0,8920.0,8077.0,7829.0,7579.0,6961.0,6669.0,6195.0,5786.0,5543.0,5121.0,4986.0,4810.0,4394.0,4071.0,3764.0,3547.0,3168.0,2851.0,2528.0,2170.0,1892.0,1711.0,1371.0,1127.0,906.0,671.0,378.0,118.0],[137.0,350.0,671.0,936.0,1086.0,1469.0,1678.0,1959.0,2220.0,2481.0,2763.0,3124.0,3379.0,3686.0,3909.0,4369.0,4686.0,5165.0,5673.0,5866.0,6375.0,6413.0,7134.0,7631.0,8180.0,8759.0,9287.0,9773.0,10555.0,11175.0,12047.0,12830.0,13679.0,14640.0,15819.0,17708.0,19403.0,22161.0,25328.0,28023.0,30113.0,31128.0,32650.0,34993.0,37688.0,39657.0,43005.0,46595.0,53141.0,59873.0,68832.0,79870.0,94181.0,110023.0,128097.0,148263.0,188814.0,233454.0,263343.0,341344.0,401858.0,371375.0,316963.0,134309.0,161153.0,259562.0,288849.0,241603.0,258871.0,206157.0,171309.0,154344.0,131347.0,116442.0,100460.0,83295.0,70859.0,61806.0,55449.0,49338.0,43543.0,37879.0,34014.0,31423.0,28726.0,26175.0,24308.0,22797.0,21901.0,19830.0,18177.0,15955.0,14927.0,14147.0,13217.0,12436.0,11376.0,10947.0,10222.0,9916.0,9230.0,8624.0,8094.0,7605.0,7139.0,6766.0,6347.0,5910.0,5583.0,5495.0,5080.0,4850.0,4434.0,4019.0,3783.0,3372.0,3240.0,2754.0,2480.0,2238.0,2008.0,1662.0,1387.0,1139.0,908.0,643.0,354.0,103.0],[117.0,346.0,621.0,893.0,1153.0,1347.0,1609.0,2065.0,2288.0,2503.0,2795.0,3188.0,3496.0,3732.0,4378.0,4373.0,4803.0,5267.0,5467.0,5961.0,6335.0,6613.0,7129.0,7641.0,8353.0,8821.0,17392.0,10094.0,10652.0,11381.0,11993.0,12827.0,13647.0,15471.0,16927.0,19348.0,22447.0,29570.0,50448.0,101670.0,146715.0,140181.0,91140.0,55627.0,45055.0,43409.0,45253.0,48603.0,54656.0,60708.0,66025.0,77478.0,94339.0,108476.0,131669.0,152923.0,197761.0,269091.0,355434.0,462735.0,482624.0,427929.0,232543.0,250376.0,166816.0,266096.0,363244.0,334302.0,330099.0,242725.0,183377.0,160463.0,140147.0,119935.0,106280.0,90352.0,72788.0,62603.0,55810.0,50609.0,45308.0,41958.0,37120.0,33324.0,30015.0,27163.0,24659.0,23071.0,21981.0,20453.0,19319.0,18345.0,16512.0,15078.0,13668.0,12822.0,11976.0,11602.0,10774.0,10065.0,9469.0,8802.0,8578.0,7746.0,7545.0,6940.0,6552.0,6422.0,6033.0,5718.0,5244.0,4757.0,4316.0,4104.0,3838.0,3540.0,3108.0,2825.0,2558.0,2285.0,2033.0,1708.0,1328.0,1042.0,932.0,655.0,358.0,139.0],[111.0,420.0,628.0,942.0,1146.0,1458.0,1611.0,2047.0,2288.0,2527.0,2879.0,3255.0,3486.0,3781.0,4025.0,4477.0,4743.0,5232.0,5580.0,5991.0,6444.0,6675.0,7179.0,7691.0,8522.0,9139.0,9581.0,10127.0,11059.0,11352.0,12237.0,13095.0,14493.0,16206.0,18438.0,21683.0,29690.0,70206.0,192472.0,387691.0,453716.0,417379.0,316491.0,169915.0,81691.0,56121.0,49778.0,52039.0,56894.0,62570.0,71025.0,81842.0,99230.0,118773.0,144160.0,176850.0,236011.0,313531.0,409254.0,550154.0,714426.0,820516.0,682092.0,613824.0,424718.0,518572.0,493529.0,423219.0,353044.0,272432.0,220051.0,178693.0,146745.0,122645.0,106084.0,93168.0,80799.0,67344.0,57741.0,51239.0,46572.0,41987.0,38360.0,35144.0,32125.0,29665.0,27098.0,24554.0,22859.0,22158.0,20437.0,18670.0,17269.0,16055.0,15361.0,14503.0,13503.0,12104.0,11289.0,10531.0,9716.0,9496.0,8854.0,8572.0,8163.0,7698.0,7015.0,6642.0,6044.0,5693.0,5160.0,4883.0,4598.0,4361.0,3944.0,3526.0,3309.0,2850.0,2490.0,2254.0,1999.0,1748.0,1462.0,1189.0,927.0,628.0,387.0,106.0],[126.0,353.0,624.0,948.0,1097.0,1389.0,1675.0,1970.0,2262.0,2556.0,2883.0,3165.0,3397.0,3995.0,4280.0,4514.0,5049.0,5222.0,5601.0,6087.0,6555.0,6958.0,7326.0,7867.0,8473.0,8850.0,9474.0,10320.0,11123.0,11691.0,12285.0,13561.0,14547.0,16271.0,18514.0,23551.0,44367.0,181329.0,792666.0,868420.0,880133.0,803218.0,571144.0,409962.0,167223.0,68237.0,53642.0,53706.0,59726.0,65384.0,74327.0,86207.0,100822.0,119165.0,144070.0,181964.0,235705.0,321651.0,433291.0,573212.0,674292.0,706648.0,594705.0,620870.0,541890.0,677071.0,583095.0,452252.0,377140.0,289129.0,258664.0,184985.0,156733.0,131168.0,110658.0,94586.0,83022.0,73736.0,64058.0,54881.0,48202.0,42864.0,39367.0,36116.0,33272.0,30388.0,27776.0,25431.0,23971.0,22056.0,20624.0,19060.0,17715.0,17025.0,15796.0,15064.0,14082.0,13628.0,12660.0,11575.0,10551.0,9733.0,9441.0,8612.0,8224.0,7686.0,7267.0,6653.0,6150.0,5606.0,5217.0,5057.0,4690.0,4248.0,3839.0,3509.0,3269.0,2821.0,2418.0,2306.0,1967.0,1664.0,1379.0,1195.0,906.0,665.0,368.0,137.0],[115.0,374.0,619.0,982.0,1121.0,1443.0,1825.0,1989.0,2219.0,2700.0,2871.0,3128.0,3547.0,3947.0,4138.0,4578.0,4891.0,5334.0,5811.0,6061.0,6576.0,7060.0,7476.0,8147.0,8627.0,9205.0,9810.0,10661.0,11458.0,12099.0,13202.0,13827.0,14633.0,16075.0,18527.0,24495.0,53867.0,257679.0,1201040.0,2352032.0,2601878.0,2019520.0,748668.0,337020.0,199468.0,68931.0,53089.0,53307.0,58280.0,67549.0,78089.0,89270.0,106432.0,127124.0,155564.0,188720.0,244407.0,335636.0,462847.0,621826.0,695126.0,726815.0,577217.0,514701.0,749105.0,724904.0,622073.0,527786.0,390586.0,287659.0,231497.0,193493.0,158873.0,127751.0,111626.0,96570.0,84433.0,72470.0,64798.0,58961.0,52625.0,45358.0,40318.0,37163.0,34154.0,30982.0,28776.0,26439.0,24871.0,22838.0,20966.0,19409.0,17871.0,17267.0,15838.0,14938.0,14054.0,13381.0,12728.0,11688.0,10917.0,10549.0,9880.0,9064.0,8180.0,7515.0,6897.0,6420.0,6008.0,5554.0,5317.0,4980.0,4616.0,4249.0,3958.0,3569.0,3209.0,2922.0,2518.0,2252.0,1931.0,1705.0,1424.0,1222.0,839.0,606.0,408.0,119.0],[142.0,373.0,660.0,826.0,1356.0,1519.0,1694.0,2025.0,2257.0,2595.0,2871.0,3221.0,3668.0,3923.0,4274.0,4693.0,4942.0,5484.0,5760.0,6353.0,6702.0,7155.0,7569.0,8154.0,8696.0,9367.0,10069.0,10767.0,11637.0,12389.0,13507.0,14416.0,15361.0,16272.0,17817.0,20960.0,35301.0,123816.0,481246.0,943942.0,1080911.0,1312418.0,611607.0,273794.0,137052.0,56054.0,51172.0,54286.0,61666.0,70354.0,79403.0,94288.0,112932.0,136736.0,167181.0,214885.0,257334.0,331160.0,469792.0,657974.0,853254.0,847336.0,475643.0,330803.0,423548.0,789192.0,730338.0,539471.0,369091.0,274844.0,240394.0,203405.0,170481.0,137004.0,110763.0,99524.0,85046.0,73752.0,65258.0,58578.0,53769.0,49935.0,44981.0,40244.0,36184.0,32897.0,29990.0,27679.0,25665.0,23474.0,21787.0,20276.0,19104.0,18157.0,16704.0,15449.0,14611.0,13384.0,12606.0,11711.0,10977.0,10467.0,10298.0,9338.0,8879.0,7955.0,7229.0,6639.0,6193.0,5755.0,5421.0,4996.0,4632.0,4370.0,3937.0,3535.0,3459.0,2990.0,2536.0,2241.0,1983.0,1700.0,1515.0,1152.0,939.0,645.0,386.0,131.0],[98.0,368.0,635.0,863.0,2873.0,1835.0,1785.0,2020.0,2260.0,2634.0,2848.0,3283.0,3654.0,3982.0,4241.0,4792.0,5057.0,5528.0,5714.0,6364.0,6769.0,7449.0,7831.0,8517.0,8937.0,9611.0,10082.0,10925.0,12005.0,12788.0,13791.0,14817.0,15797.0,17157.0,18728.0,21378.0,25005.0,44010.0,126759.0,296996.0,303512.0,270432.0,210618.0,141942.0,59498.0,49700.0,51037.0,55606.0,59011.0,70995.0,84925.0,99806.0,121568.0,145183.0,175476.0,210974.0,259459.0,346231.0,495352.0,733026.0,1051525.0,1234099.0,1090678.0,777550.0,623401.0,815753.0,768355.0,571087.0,402605.0,308812.0,255448.0,221736.0,184655.0,146994.0,124406.0,108175.0,92847.0,79152.0,70662.0,62250.0,54950.0,51533.0,46854.0,42437.0,38828.0,35302.0,31333.0,27486.0,25871.0,23833.0,21902.0,20572.0,19335.0,17674.0,16829.0,15152.0,14128.0,13153.0,12315.0,11551.0,11032.0,10482.0,9965.0,9243.0,8807.0,8121.0,7894.0,7250.0,6462.0,5979.0,5421.0,5191.0,4673.0,4349.0,4129.0,3694.0,3311.0,2789.0,2547.0,2231.0,2029.0,1874.0,1549.0,1144.0,888.0,661.0,411.0,135.0],[132.0,380.0,609.0,848.0,6315.0,1826.0,1699.0,2081.0,2241.0,2687.0,2893.0,3309.0,3624.0,3905.0,4348.0,4659.0,5139.0,5597.0,6048.0,6343.0,7082.0,7572.0,8092.0,8668.0,8857.0,9651.0,10479.0,11047.0,12159.0,13058.0,14253.0,15489.0,16373.0,17536.0,19223.0,21059.0,23267.0,25998.0,38350.0,68067.0,104265.0,86194.0,57532.0,47002.0,45994.0,46005.0,50672.0,55004.0,67640.0,78089.0,90213.0,106138.0,125550.0,144389.0,178330.0,221675.0,280504.0,368093.0,504342.0,690552.0,987437.0,1287451.0,1709079.0,1196419.0,1081700.0,1080152.0,902352.0,664009.0,506527.0,372028.0,286644.0,246382.0,201944.0,157816.0,133389.0,117753.0,101233.0,86568.0,75099.0,65190.0,58670.0,51948.0,46684.0,42606.0,39386.0,35768.0,33147.0,30206.0,27585.0,25210.0,23084.0,21085.0,19893.0,17840.0,16441.0,15499.0,14290.0,13157.0,12475.0,11605.0,10864.0,10133.0,9754.0,9655.0,8985.0,8339.0,7742.0,7183.0,6768.0,6509.0,5835.0,5199.0,4697.0,4408.0,3846.0,3630.0,3138.0,2881.0,2474.0,2309.0,2106.0,1835.0,1619.0,1105.0,927.0,634.0,374.0,128.0],[132.0,366.0,623.0,852.0,1715.0,1612.0,1810.0,1986.0,2284.0,2721.0,2962.0,3267.0,3573.0,3983.0,4339.0,4723.0,5129.0,5511.0,6086.0,6488.0,7066.0,7648.0,8054.0,8882.0,9432.0,10076.0,10901.0,11571.0,12488.0,13538.0,14704.0,15770.0,16964.0,18269.0,20064.0,21523.0,22703.0,24357.0,28242.0,31111.0,34404.0,35804.0,37598.0,40820.0,41078.0,43656.0,48624.0,63592.0,72981.0,79953.0,92571.0,108100.0,124555.0,144493.0,188256.0,242485.0,304714.0,392172.0,496721.0,684988.0,968965.0,1175516.0,1122764.0,1196278.0,1541319.0,1371275.0,1008912.0,705541.0,538981.0,419847.0,326559.0,271414.0,214689.0,173681.0,146550.0,124012.0,101356.0,86717.0,74360.0,67939.0,59620.0,54867.0,49570.0,45032.0,39998.0,37118.0,33524.0,31317.0,28291.0,25510.0,23690.0,21960.0,20376.0,18865.0,17047.0,15767.0,14690.0,13769.0,12882.0,11771.0,11322.0,10778.0,10266.0,9312.0,8869.0,8312.0,7863.0,7538.0,6856.0,6367.0,6053.0,5528.0,5143.0,4560.0,4061.0,3605.0,3205.0,2745.0,2637.0,2314.0,2154.0,1790.0,1460.0,1102.0,917.0,601.0,387.0,121.0],[118.0,342.0,640.0,924.0,1205.0,1419.0,1782.0,2012.0,2399.0,2756.0,2984.0,3408.0,3651.0,4027.0,4370.0,4796.0,5152.0,5651.0,6151.0,6622.0,7278.0,7717.0,8427.0,8911.0,9443.0,10270.0,11068.0,12064.0,13106.0,14064.0,15272.0,16437.0,17702.0,19916.0,21629.0,21570.0,23081.0,24785.0,27246.0,30175.0,33160.0,36057.0,38483.0,41587.0,44828.0,49852.0,48697.0,64817.0,75152.0,82006.0,91007.0,94431.0,111732.0,143328.0,188701.0,245415.0,309013.0,400896.0,553055.0,730455.0,934503.0,882470.0,577305.0,814190.0,1747224.0,1445075.0,1002673.0,803508.0,576729.0,463188.0,370699.0,288432.0,238184.0,191237.0,155269.0,130428.0,107528.0,92469.0,79891.0,73177.0,66539.0,58891.0,52265.0,47181.0,42288.0,38142.0,34864.0,31777.0,28997.0,26392.0,24065.0,22069.0,20963.0,19559.0,18229.0,17069.0,16128.0,14831.0,13817.0,12770.0,12143.0,11363.0,10574.0,9586.0,8936.0,8292.0,7794.0,7470.0,7110.0,6438.0,5925.0,5439.0,5249.0,4761.0,4441.0,4152.0,3502.0,3118.0,2766.0,2450.0,2072.0,1815.0,1400.0,1176.0,873.0,611.0,434.0,127.0],[147.0,425.0,630.0,866.0,1123.0,1352.0,1651.0,2101.0,2326.0,2797.0,3026.0,3313.0,3738.0,4088.0,4439.0,4939.0,5215.0,5790.0,6168.0,6673.0,7033.0,7785.0,8303.0,9088.0,9915.0,10442.0,11381.0,12559.0,13898.0,16302.0,22611.0,34182.0,37946.0,40948.0,38279.0,25140.0,24774.0,25632.0,27772.0,30704.0,34378.0,36752.0,39500.0,42429.0,46572.0,54711.0,58650.0,69863.0,80520.0,91208.0,106804.0,108155.0,93339.0,140859.0,188318.0,221149.0,298511.0,400579.0,522063.0,798007.0,1115586.0,1235603.0,1202936.0,1534545.0,1382937.0,1203922.0,1000721.0,843559.0,629116.0,512696.0,404761.0,311889.0,240309.0,197150.0,167439.0,141906.0,121330.0,104307.0,90438.0,80598.0,70930.0,62272.0,55253.0,49962.0,44657.0,39683.0,36296.0,33227.0,30656.0,27378.0,24846.0,22364.0,21348.0,20122.0,18517.0,17292.0,16632.0,15349.0,14337.0,13482.0,12481.0,11931.0,11253.0,10318.0,9738.0,8943.0,8229.0,7601.0,7165.0,6755.0,6425.0,5674.0,5324.0,4741.0,4503.0,4263.0,4006.0,3221.0,2668.0,2382.0,2037.0,1825.0,1510.0,1212.0,831.0,609.0,407.0,112.0],[131.0,383.0,618.0,904.0,1146.0,1432.0,1640.0,4087.0,2482.0,2783.0,3017.0,3382.0,3736.0,3950.0,4382.0,4835.0,5374.0,5761.0,6179.0,6656.0,7493.0,7956.0,8404.0,9200.0,9999.0,10779.0,11908.0,12970.0,15699.0,22190.0,39379.0,117197.0,188173.0,100331.0,48598.0,32813.0,27954.0,27149.0,28997.0,30691.0,33998.0,37576.0,41320.0,45361.0,50287.0,55838.0,59782.0,72487.0,79743.0,88118.0,104219.0,110698.0,141731.0,167259.0,185205.0,241511.0,306456.0,384470.0,590825.0,866937.0,1259846.0,1795596.0,1900552.0,1310011.0,1115062.0,1347683.0,1056864.0,766407.0,579677.0,516744.0,436885.0,325149.0,258595.0,215159.0,179954.0,150301.0,127434.0,106907.0,90171.0,78626.0,70076.0,62556.0,56233.0,50499.0,45479.0,40153.0,36711.0,32858.0,30235.0,39501.0,25307.0,23575.0,22709.0,21242.0,19579.0,18475.0,16994.0,15942.0,14750.0,13831.0,13283.0,11916.0,11233.0,10506.0,9883.0,9099.0,8230.0,7792.0,7325.0,6620.0,6307.0,5801.0,5159.0,4765.0,4485.0,4075.0,3737.0,3245.0,2945.0,2442.0,2119.0,1742.0,1488.0,1150.0,834.0,634.0,358.0,117.0],[149.0,350.0,651.0,954.0,1188.0,1283.0,1560.0,2078.0,2307.0,2804.0,2970.0,3548.0,3805.0,4107.0,4557.0,5000.0,5422.0,5745.0,6388.0,6891.0,7381.0,8151.0,8710.0,9335.0,10108.0,11021.0,12328.0,13519.0,17192.0,25293.0,42100.0,344891.0,1605978.0,480287.0,68112.0,32239.0,27258.0,27899.0,29432.0,31980.0,34175.0,38891.0,42406.0,46810.0,51874.0,59644.0,63953.0,77555.0,86275.0,92015.0,104088.0,105076.0,133196.0,141879.0,194250.0,273249.0,361950.0,449304.0,618908.0,933949.0,1334197.0,1908283.0,2071296.0,1143458.0,575410.0,1196633.0,1369637.0,1003456.0,727256.0,515484.0,430044.0,343195.0,263750.0,220168.0,176391.0,152132.0,131414.0,113552.0,97246.0,82597.0,73618.0,67280.0,60279.0,53353.0,47660.0,42279.0,38562.0,34882.0,31776.0,28642.0,25556.0,23227.0,21518.0,20237.0,18808.0,17495.0,16605.0,15294.0,14269.0,13533.0,12649.0,11610.0,10824.0,10416.0,9906.0,9127.0,8561.0,8094.0,7260.0,6782.0,6044.0,5789.0,5253.0,4764.0,4521.0,3968.0,3633.0,3166.0,2958.0,2524.0,2104.0,1802.0,1419.0,1127.0,868.0,605.0,386.0,111.0],[143.0,369.0,658.0,906.0,1140.0,1413.0,1671.0,1862.0,2302.0,2750.0,3136.0,3502.0,3712.0,4120.0,4491.0,4976.0,5602.0,5974.0,6386.0,7050.0,7651.0,8224.0,8809.0,9513.0,10254.0,11267.0,12631.0,13578.0,16311.0,22360.0,31318.0,91064.0,425348.0,276717.0,48419.0,28418.0,26349.0,27980.0,30411.0,30654.0,33737.0,39680.0,43051.0,47645.0,53102.0,61125.0,70674.0,81929.0,89835.0,99297.0,104808.0,140566.0,172756.0,194140.0,245207.0,309157.0,374776.0,487479.0,687473.0,903623.0,1271412.0,1967504.0,2712430.0,1714351.0,817353.0,1031001.0,1320617.0,1159327.0,825464.0,556900.0,381089.0,316574.0,269614.0,223335.0,186989.0,165733.0,143487.0,119130.0,102019.0,86638.0,74847.0,67304.0,59815.0,52449.0,46116.0,41333.0,37207.0,33355.0,30383.0,28003.0,24944.0,22702.0,21038.0,19506.0,17911.0,16943.0,16195.0,15158.0,14235.0,13435.0,12404.0,11734.0,10896.0,9934.0,9293.0,8872.0,8119.0,7802.0,7320.0,6957.0,6302.0,5819.0,5423.0,4812.0,4402.0,4052.0,3576.0,3167.0,2893.0,2516.0,2207.0,1922.0,1507.0,1103.0,873.0,635.0,377.0,113.0],[113.0,387.0,607.0,888.0,1152.0,1377.0,1687.0,1998.0,2228.0,2701.0,2844.0,3486.0,3969.0,4218.0,4698.0,5082.0,5520.0,5963.0,6407.0,6965.0,7590.0,8285.0,9100.0,9654.0,10211.0,11415.0,12495.0,13773.0,15092.0,17150.0,20319.0,23523.0,27830.0,30582.0,25990.0,25042.0,26212.0,27759.0,30620.0,31965.0,32795.0,39403.0,44248.0,48541.0,56490.0,63020.0,73562.0,84830.0,95112.0,103349.0,118917.0,153871.0,189011.0,224404.0,267137.0,330012.0,392708.0,505343.0,731989.0,1004879.0,1432912.0,2017415.0,2581433.0,1731362.0,1109470.0,1531696.0,1655763.0,1021284.0,687598.0,558437.0,415397.0,358781.0,301199.0,242528.0,361473.0,163793.0,140822.0,114710.0,99486.0,86615.0,76033.0,68153.0,60484.0,54124.0,48170.0,43368.0,38450.0,34825.0,31133.0,28180.0,25890.0,22814.0,21683.0,19714.0,18342.0,16980.0,16049.0,15358.0,14133.0,13472.0,12279.0,11420.0,10709.0,10044.0,9511.0,8976.0,8308.0,7740.0,7162.0,6339.0,6199.0,5919.0,5463.0,5033.0,4572.0,4096.0,3661.0,3247.0,2804.0,2461.0,2115.0,1825.0,1523.0,1082.0,935.0,610.0,381.0,118.0],[106.0,382.0,573.0,901.0,1069.0,1347.0,1693.0,1986.0,2197.0,2559.0,2894.0,3399.0,3893.0,4288.0,4617.0,5153.0,5670.0,6219.0,6665.0,7041.0,7764.0,8316.0,9196.0,9768.0,10482.0,11645.0,12428.0,13472.0,14590.0,16112.0,17004.0,18898.0,20167.0,22001.0,23721.0,25392.0,26006.0,27453.0,30309.0,33917.0,35653.0,39546.0,41007.0,47706.0,55795.0,65010.0,74779.0,84821.0,96107.0,106698.0,134402.0,166873.0,201118.0,237187.0,292886.0,362895.0,443021.0,550755.0,701446.0,975893.0,1414149.0,2094596.0,1748617.0,845418.0,708786.0,1212071.0,1639470.0,1242846.0,814959.0,513311.0,413794.0,350786.0,301468.0,250832.0,209073.0,166451.0,143695.0,122998.0,105500.0,91337.0,80188.0,70837.0,62489.0,55872.0,49913.0,45100.0,40091.0,36426.0,32465.0,29520.0,26643.0,23297.0,21864.0,20308.0,18965.0,17306.0,16193.0,15202.0,13906.0,13207.0,12307.0,11570.0,10779.0,9999.0,9408.0,8821.0,8215.0,7531.0,7089.0,6474.0,6112.0,5685.0,5289.0,5131.0,4608.0,4027.0,3790.0,3237.0,2840.0,2410.0,2141.0,1828.0,1530.0,1151.0,915.0,641.0,408.0,136.0],[113.0,439.0,607.0,904.0,1073.0,1500.0,1697.0,1943.0,2276.0,2639.0,3152.0,3365.0,3761.0,4313.0,4977.0,5343.0,5602.0,6069.0,6686.0,7182.0,7679.0,8326.0,9285.0,10152.0,11112.0,11667.0,12510.0,13622.0,14486.0,15769.0,17264.0,18781.0,20385.0,22229.0,24320.0,26415.0,27225.0,29211.0,30914.0,33859.0,36871.0,40322.0,43087.0,43980.0,55856.0,67158.0,75314.0,86855.0,103321.0,122951.0,146842.0,180780.0,212889.0,258950.0,317037.0,396359.0,502157.0,623130.0,814241.0,1093597.0,1568300.0,1985973.0,2005891.0,878516.0,629165.0,1013332.0,1238936.0,1236017.0,835763.0,548402.0,389064.0,347040.0,307516.0,263164.0,205492.0,177975.0,151289.0,131433.0,111572.0,95493.0,84322.0,73431.0,64975.0,57361.0,52111.0,46568.0,41957.0,37290.0,33979.0,30126.0,27794.0,24811.0,22567.0,20625.0,19034.0,17610.0,16527.0,15482.0,14524.0,13651.0,12674.0,11600.0,10824.0,9723.0,9270.0,8582.0,8069.0,7795.0,7162.0,6432.0,5911.0,5458.0,5093.0,4748.0,4768.0,4161.0,3571.0,3286.0,2779.0,2562.0,2159.0,1918.0,1579.0,1249.0,935.0,622.0,356.0,98.0],[125.0,395.0,619.0,833.0,1173.0,1489.0,1745.0,1922.0,2293.0,2676.0,3081.0,3355.0,3844.0,4257.0,4509.0,5232.0,5959.0,6217.0,6870.0,7293.0,7947.0,8505.0,9175.0,9999.0,10982.0,11898.0,12629.0,13900.0,14995.0,16093.0,17655.0,19208.0,20675.0,22488.0,24459.0,26767.0,28836.0,30708.0,33617.0,37288.0,40590.0,43942.0,47347.0,48886.0,59667.0,72494.0,77111.0,91178.0,102060.0,132269.0,158457.0,186293.0,232725.0,272523.0,334416.0,422614.0,554219.0,711838.0,927916.0,1152113.0,1195158.0,1403107.0,2250158.0,934945.0,736466.0,1170443.0,1105116.0,1014969.0,679295.0,565237.0,443074.0,384290.0,318254.0,275662.0,221837.0,186691.0,158426.0,135549.0,115074.0,99877.0,86344.0,75726.0,66490.0,59105.0,53165.0,47281.0,42345.0,37749.0,34135.0,30954.0,28048.0,25413.0,22622.0,21518.0,19086.0,17885.0,16424.0,15616.0,14626.0,13726.0,12730.0,11742.0,10723.0,10147.0,9415.0,8661.0,8072.0,7788.0,7108.0,6605.0,5933.0,5659.0,5020.0,4731.0,4458.0,4208.0,3721.0,3262.0,2897.0,2572.0,2070.0,1828.0,1536.0,1194.0,960.0,628.0,376.0,140.0],[122.0,352.0,605.0,910.0,1129.0,1416.0,1723.0,2007.0,2350.0,2663.0,3022.0,3421.0,3773.0,4153.0,4550.0,4894.0,5923.0,6416.0,6922.0,7478.0,8143.0,8548.0,9353.0,10149.0,11311.0,12026.0,12991.0,14149.0,15234.0,16350.0,17711.0,19124.0,21082.0,23138.0,25549.0,28049.0,29931.0,33279.0,35112.0,39250.0,43338.0,47552.0,51611.0,58649.0,67799.0,73735.0,82068.0,96788.0,117551.0,140653.0,165485.0,193398.0,234555.0,289793.0,361323.0,460153.0,594147.0,766756.0,976831.0,1249080.0,1229508.0,1696200.0,1932245.0,690684.0,625704.0,1240340.0,1498756.0,1049435.0,747999.0,633729.0,521776.0,417973.0,344409.0,294475.0,228584.0,193484.0,164277.0,138059.0,118696.0,102710.0,88563.0,78048.0,68586.0,60700.0,53795.0,48258.0,43310.0,38922.0,34993.0,31440.0,28971.0,26059.0,23189.0,21272.0,19791.0,18227.0,17169.0,15949.0,14712.0,13690.0,13162.0,11720.0,11200.0,10180.0,9408.0,8901.0,8111.0,7923.0,7026.0,6684.0,6042.0,5591.0,5236.0,4671.0,4307.0,4144.0,3784.0,3323.0,2879.0,2499.0,2150.0,1816.0,1577.0,1265.0,889.0,614.0,358.0,121.0],[118.0,401.0,604.0,902.0,1247.0,1401.0,1716.0,1973.0,2364.0,2773.0,3071.0,3505.0,3815.0,4314.0,4694.0,5194.0,5645.0,6273.0,6959.0,7585.0,8208.0,8796.0,9532.0,10234.0,11226.0,12097.0,12922.0,14293.0,15710.0,16757.0,18249.0,19691.0,21646.0,23192.0,25583.0,28164.0,31014.0,33381.0,36821.0,40870.0,44817.0,48765.0,54882.0,61997.0,70142.0,78152.0,89391.0,102560.0,123358.0,147296.0,174850.0,204140.0,250345.0,308784.0,387237.0,482216.0,603953.0,771314.0,958982.0,1247963.0,1528989.0,2025112.0,1883183.0,826970.0,561158.0,976725.0,1447970.0,1124447.0,820179.0,674672.0,570695.0,466169.0,360028.0,293837.0,229881.0,192482.0,166128.0,138120.0,121210.0,107351.0,92877.0,80599.0,70404.0,62255.0,55206.0,49738.0,44420.0,39776.0,35605.0,31970.0,29314.0,26775.0,24463.0,21707.0,19997.0,17962.0,17168.0,16200.0,14706.0,13451.0,12808.0,12090.0,11157.0,10297.0,9528.0,9071.0,8281.0,7532.0,7050.0,6460.0,6195.0,5583.0,5057.0,4694.0,4199.0,3936.0,3820.0,3338.0,2916.0,2546.0,2184.0,1934.0,1533.0,1221.0,939.0,609.0,382.0,124.0],[119.0,370.0,678.0,850.0,1120.0,1397.0,1692.0,2062.0,2389.0,2652.0,3147.0,3538.0,3854.0,4200.0,4621.0,5041.0,5524.0,6274.0,7116.0,7702.0,8348.0,8884.0,9435.0,10371.0,11361.0,12363.0,13383.0,14637.0,15806.0,17198.0,18484.0,20439.0,22355.0,23636.0,25955.0,28534.0,31474.0,34511.0,38186.0,41955.0,46995.0,52435.0,56317.0,64537.0,74064.0,84952.0,97771.0,109125.0,129239.0,154638.0,184278.0,242810.0,270933.0,321843.0,388126.0,493086.0,617293.0,809240.0,1049960.0,1369298.0,1912315.0,2462521.0,2446249.0,819914.0,501896.0,1328829.0,1556040.0,1266473.0,912644.0,792150.0,623745.0,473666.0,386941.0,306860.0,243329.0,203003.0,174554.0,145142.0,124608.0,109612.0,95128.0,82385.0,71993.0,63085.0,56280.0,50027.0,44853.0,40884.0,36382.0,32491.0,29515.0,26677.0,24840.0,22366.0,20283.0,18765.0,17276.0,16188.0,15109.0,13797.0,13077.0,12107.0,11264.0,10617.0,9795.0,8889.0,8133.0,7788.0,7150.0,6646.0,6074.0,5529.0,5066.0,4612.0,4099.0,3896.0,3778.0,3358.0,2804.0,2546.0,2223.0,1892.0,1546.0,1154.0,952.0,648.0,366.0,131.0],[121.0,377.0,651.0,899.0,1183.0,1383.0,1723.0,2012.0,2400.0,2732.0,3154.0,3494.0,3942.0,4424.0,4763.0,5187.0,5852.0,6317.0,6779.0,7517.0,8736.0,9430.0,9919.0,10645.0,11561.0,12667.0,13619.0,14807.0,16144.0,17439.0,19272.0,20398.0,22126.0,24221.0,26657.0,29854.0,33014.0,35571.0,39073.0,43717.0,48473.0,53313.0,57991.0,66692.0,78511.0,89476.0,99557.0,110923.0,127969.0,157054.0,183824.0,215532.0,260050.0,318551.0,379802.0,478183.0,589924.0,785978.0,1051755.0,1447235.0,2014242.0,2646449.0,2656662.0,911982.0,404225.0,963090.0,1758347.0,1512607.0,1037452.0,821785.0,652542.0,507304.0,417095.0,339334.0,274397.0,219588.0,179277.0,153991.0,129889.0,111799.0,96470.0,84283.0,73676.0,64210.0,57340.0,50753.0,45720.0,40604.0,36426.0,32290.0,29165.0,27154.0,24679.0,22492.0,20542.0,18934.0,17269.0,16095.0,15415.0,14173.0,13206.0,11980.0,11342.0,10104.0,9568.0,8655.0,8208.0,7644.0,7244.0,6575.0,6075.0,5402.0,5021.0,4625.0,4159.0,3893.0,3568.0,3274.0,2880.0,2648.0,2151.0,1768.0,1572.0,1212.0,937.0,682.0,389.0,140.0],[125.0,367.0,618.0,907.0,1127.0,1447.0,1748.0,2039.0,2386.0,2768.0,3089.0,3606.0,4056.0,4432.0,4782.0,5123.0,5781.0,6397.0,6830.0,7429.0,8339.0,9386.0,9873.0,10717.0,11738.0,12792.0,13746.0,14972.0,16465.0,17916.0,19487.0,21504.0,23316.0,25555.0,27731.0,30753.0,33842.0,36901.0,40534.0,44493.0,49926.0,55072.0,60821.0,66729.0,78802.0,89099.0,101745.0,117978.0,136270.0,158390.0,186014.0,219515.0,274970.0,332732.0,409815.0,503125.0,636900.0,830104.0,1026753.0,1386851.0,1819484.0,2647415.0,2965975.0,1529628.0,603569.0,726102.0,1082703.0,1177452.0,1084859.0,876947.0,651561.0,560019.0,454658.0,355242.0,288394.0,231510.0,192180.0,156797.0,130546.0,113485.0,98145.0,83973.0,73672.0,64333.0,57199.0,52176.0,45794.0,40883.0,36877.0,32983.0,29811.0,27085.0,24949.0,22520.0,21416.0,19315.0,17962.0,16464.0,15483.0,14579.0,13222.0,12226.0,11159.0,10545.0,9459.0,8814.0,8349.0,7629.0,7313.0,6487.0,6034.0,5487.0,5077.0,4512.0,4247.0,3932.0,3432.0,3295.0,2910.0,2521.0,2244.0,1855.0,1559.0,1165.0,960.0,666.0,378.0,111.0],[117.0,382.0,623.0,917.0,1163.0,1425.0,1803.0,2124.0,2514.0,2700.0,5798.0,3522.0,3869.0,4060.0,4692.0,5197.0,5515.0,6141.0,6866.0,7441.0,8000.0,9076.0,10282.0,10963.0,11669.0,12720.0,13706.0,14911.0,16143.0,17189.0,18790.0,20671.0,21698.0,24458.0,27321.0,29865.0,32943.0,36730.0,40166.0,45008.0,50392.0,54975.0,60275.0,68286.0,79540.0,91639.0,103508.0,112008.0,124763.0,151865.0,184270.0,227400.0,275339.0,339346.0,433747.0,539747.0,650704.0,872545.0,1148455.0,1484292.0,1985172.0,2439941.0,2105097.0,1084108.0,755258.0,620720.0,866290.0,857190.0,971531.0,947527.0,724819.0,562174.0,453226.0,369910.0,291942.0,236803.0,186323.0,143045.0,116758.0,106859.0,94297.0,82411.0,72634.0,64451.0,57142.0,51005.0,45843.0,41105.0,37040.0,33556.0,30071.0,27960.0,24864.0,23021.0,20951.0,19275.0,17938.0,16643.0,15480.0,14621.0,13419.0,12665.0,11554.0,10488.0,9656.0,8906.0,8356.0,7736.0,7134.0,6810.0,6002.0,5369.0,5008.0,4554.0,4025.0,3824.0,3546.0,3154.0,2945.0,2534.0,18489.0,1801.0,1552.0,1213.0,946.0,671.0,375.0,128.0],[125.0,377.0,635.0,907.0,1190.0,1471.0,1796.0,2137.0,2528.0,2678.0,2890.0,3571.0,3916.0,4124.0,4541.0,5135.0,5663.0,6158.0,6840.0,7539.0,8204.0,8899.0,9753.0,11194.0,11714.0,12612.0,13753.0,14717.0,15866.0,17436.0,19276.0,21021.0,22071.0,24331.0,26821.0,29549.0,32326.0,35525.0,39502.0,43263.0,48675.0,55012.0,61161.0,70223.0,82116.0,148644.0,105404.0,117224.0,136140.0,162326.0,190619.0,227684.0,273892.0,335805.0,427664.0,532849.0,662669.0,848798.0,1139327.0,1435412.0,1971213.0,1742260.0,1269269.0,1000526.0,1047200.0,1333783.0,847689.0,996886.0,978854.0,701449.0,652129.0,531490.0,415441.0,386984.0,261629.0,195656.0,165866.0,134268.0,118992.0,106594.0,88454.0,81752.0,72462.0,64818.0,57014.0,50943.0,45995.0,41614.0,37420.0,33523.0,30294.0,28131.0,24343.0,23083.0,21234.0,19082.0,17850.0,16945.0,15893.0,14256.0,13248.0,12783.0,11262.0,10251.0,9590.0,9045.0,8329.0,7704.0,7200.0,6515.0,6135.0,5534.0,5073.0,4613.0,4152.0,3906.0,3559.0,3253.0,2979.0,2623.0,5782.0,1880.0,1543.0,1258.0,965.0,661.0,359.0,117.0],[129.0,376.0,644.0,909.0,1165.0,1522.0,1839.0,2179.0,2314.0,2621.0,2924.0,3345.0,3823.0,4231.0,4580.0,4965.0,5710.0,6327.0,6767.0,7622.0,7993.0,8541.0,9233.0,10605.0,12178.0,12703.0,13707.0,14675.0,15944.0,17531.0,19032.0,20622.0,22001.0,24428.0,27273.0,29358.0,32225.0,35576.0,38987.0,43538.0,48902.0,54848.0,62100.0,70252.0,77436.0,86549.0,98006.0,115443.0,139322.0,168615.0,197728.0,239678.0,293887.0,356936.0,447374.0,581130.0,702089.0,940615.0,1239416.0,1431994.0,1587304.0,1358020.0,861615.0,901118.0,1489918.0,1518517.0,1196390.0,1009958.0,737960.0,729272.0,573986.0,550667.0,417269.0,355811.0,250327.0,197737.0,176774.0,168902.0,136660.0,106852.0,88266.0,79967.0,74338.0,68236.0,59462.0,52181.0,46938.0,42398.0,38204.0,34785.0,29994.0,28190.0,25149.0,23525.0,21630.0,19146.0,18269.0,17150.0,15785.0,14561.0,13642.0,12684.0,11301.0,10532.0,9843.0,8934.0,8408.0,7538.0,7246.0,6605.0,6145.0,5620.0,5040.0,4659.0,4210.0,3724.0,3596.0,3061.0,2980.0,2652.0,2239.0,1777.0,1561.0,1217.0,901.0,661.0,398.0,124.0],[120.0,367.0,614.0,903.0,1189.0,1526.0,1845.0,2131.0,2249.0,2702.0,2975.0,3395.0,3924.0,4184.0,4637.0,5175.0,5858.0,6239.0,6787.0,7254.0,8101.0,8660.0,9391.0,10218.0,11849.0,13341.0,13942.0,15076.0,15979.0,17615.0,19261.0,21097.0,22601.0,24216.0,27065.0,29818.0,32730.0,35573.0,39642.0,44116.0,50219.0,56705.0,65313.0,70613.0,77419.0,88087.0,101894.0,119636.0,145469.0,165558.0,194360.0,234000.0,297231.0,371412.0,471731.0,613653.0,828723.0,1058987.0,1286042.0,1596317.0,1627033.0,925596.0,1081065.0,723818.0,821963.0,967060.0,1153175.0,941713.0,579118.0,636513.0,398395.0,475356.0,477497.0,398651.0,302962.0,277130.0,236593.0,188662.0,146638.0,118636.0,100231.0,83513.0,77699.0,69197.0,60160.0,63520.0,48041.0,43875.0,39271.0,34704.0,30332.0,28514.0,26336.0,23829.0,21738.0,19320.0,18354.0,17042.0,15840.0,16739.0,13434.0,12597.0,11397.0,10693.0,9866.0,9263.0,8242.0,7511.0,7135.0,6638.0,5984.0,5531.0,5087.0,4625.0,4090.0,3747.0,3597.0,3127.0,2844.0,2617.0,2096.0,1912.0,1517.0,1230.0,967.0,662.0,366.0,146.0],[163.0,388.0,663.0,959.0,1147.0,1550.0,1811.0,2141.0,2286.0,2701.0,3002.0,3334.0,3909.0,4366.0,4666.0,5322.0,5600.0,5921.0,6806.0,7511.0,8083.0,8743.0,9455.0,10355.0,11320.0,12765.0,14298.0,15343.0,16514.0,17479.0,19490.0,21314.0,23353.0,24924.0,26969.0,29845.0,32924.0,36791.0,40733.0,44523.0,50319.0,57945.0,63375.0,68820.0,79141.0,90823.0,104076.0,125121.0,145981.0,172555.0,208013.0,255952.0,314921.0,389365.0,482930.0,611030.0,848397.0,1099730.0,1419272.0,1943279.0,2297260.0,1346075.0,976368.0,662509.0,420928.0,1183736.0,1792170.0,1485066.0,1055660.0,725915.0,607154.0,460742.0,487361.0,458258.0,370888.0,299363.0,245211.0,195613.0,160225.0,123769.0,95521.0,83178.0,77286.0,68890.0,61912.0,53846.0,48206.0,43196.0,39546.0,34470.0,31218.0,28893.0,26738.0,24002.0,21856.0,20148.0,18744.0,17164.0,15926.0,14195.0,12945.0,12542.0,11739.0,10631.0,9871.0,9164.0,8126.0,7797.0,7050.0,6534.0,6066.0,5649.0,4943.0,4557.0,4094.0,3907.0,3537.0,3049.0,2907.0,2579.0,2120.0,1792.0,1528.0,1208.0,904.0,670.0,369.0,130.0],[121.0,400.0,609.0,901.0,1231.0,1531.0,1773.0,2111.0,2449.0,2802.0,3154.0,3283.0,3973.0,4509.0,4873.0,5211.0,5764.0,6097.0,6544.0,7516.0,8209.0,9276.0,9617.0,10488.0,11335.0,12405.0,14122.0,15508.0,16552.0,18271.0,19494.0,21458.0,23077.0,25433.0,27719.0,30003.0,33312.0,37666.0,41258.0,45979.0,52198.0,58013.0,61216.0,69269.0,79245.0,90347.0,109377.0,127998.0,149815.0,179903.0,216090.0,268429.0,340987.0,425144.0,537320.0,669857.0,918352.0,1090760.0,1405066.0,1608885.0,2070150.0,2059295.0,1445169.0,1436756.0,621145.0,1312159.0,1679783.0,1589127.0,1005170.0,990251.0,857394.0,613880.0,495146.0,425985.0,344636.0,289538.0,237715.0,205298.0,166565.0,133720.0,108044.0,86248.0,79253.0,70278.0,62991.0,56902.0,49284.0,43909.0,38669.0,34190.0,31875.0,28944.0,26426.0,24243.0,22567.0,20413.0,18794.0,17477.0,15579.0,14376.0,13523.0,12760.0,11956.0,10609.0,9806.0,8817.0,8420.0,7701.0,7355.0,6639.0,6095.0,5469.0,5150.0,4616.0,4226.0,3866.0,3623.0,3124.0,2861.0,2491.0,2168.0,1745.0,1503.0,1204.0,906.0,693.0,371.0,119.0],[127.0,350.0,674.0,931.0,1239.0,1411.0,1791.0,2099.0,2396.0,2735.0,3129.0,3410.0,3792.0,4490.0,4785.0,5133.0,5481.0,6246.0,6382.0,7231.0,8194.0,9236.0,9896.0,10355.0,11151.0,12334.0,13438.0,15545.0,17129.0,18349.0,19776.0,21367.0,23168.0,25377.0,27621.0,30218.0,33831.0,37779.0,42321.0,46721.0,53222.0,55454.0,62069.0,70933.0,80797.0,94513.0,110292.0,127447.0,149314.0,184916.0,224279.0,280711.0,362069.0,457071.0,581287.0,758185.0,1085950.0,1444459.0,1980857.0,2437262.0,2531138.0,1603696.0,1468147.0,562303.0,438667.0,1120426.0,2733564.0,2809790.0,2356668.0,1417979.0,1199605.0,855081.0,541404.0,384316.0,266714.0,247932.0,168907.0,194180.0,170666.0,140801.0,111757.0,93355.0,83379.0,74359.0,64273.0,57777.0,50344.0,44042.0,38786.0,34868.0,31875.0,29351.0,26611.0,25381.0,22631.0,20637.0,19193.0,17195.0,15726.0,14291.0,13871.0,12721.0,11547.0,10770.0,9810.0,8839.0,8326.0,7825.0,7237.0,6505.0,5977.0,5604.0,4969.0,4721.0,4157.0,3743.0,3577.0,3101.0,2867.0,2513.0,2136.0,1873.0,1507.0,1242.0,993.0,683.0,384.0,138.0],[107.0,404.0,653.0,927.0,1268.0,1438.0,1715.0,1936.0,2501.0,2719.0,3098.0,3594.0,3838.0,4144.0,4798.0,5210.0,5476.0,6108.0,6695.0,7303.0,7781.0,8880.0,10089.0,10651.0,11426.0,12391.0,13386.0,14965.0,17178.0,18652.0,20091.0,21577.0,23480.0,25372.0,28318.0,31077.0,33918.0,37898.0,42397.0,48304.0,52096.0,56140.0,63757.0,72586.0,83829.0,95126.0,111219.0,126853.0,153027.0,188635.0,230961.0,285939.0,362622.0,468965.0,621955.0,850585.0,1218494.0,1828477.0,2577265.0,3123724.0,3111978.0,2396169.0,2150558.0,632934.0,284165.0,801722.0,2648893.0,3589829.0,3276149.0,2657738.0,1704641.0,1099374.0,668718.0,443691.0,304637.0,112331.0,80744.0,165917.0,166268.0,125271.0,108850.0,93707.0,80363.0,74414.0,64309.0,57011.0,50045.0,44309.0,39107.0,34168.0,32172.0,30214.0,27748.0,25469.0,22671.0,20474.0,17814.0,16397.0,15722.0,14562.0,13500.0,12370.0,11589.0,10624.0,9746.0,9034.0,8236.0,7784.0,7071.0,6414.0,5908.0,5563.0,5023.0,4658.0,4148.0,3903.0,3482.0,3066.0,2807.0,2625.0,2133.0,1883.0,1546.0,1236.0,941.0,652.0,425.0,124.0],[142.0,439.0,703.0,998.0,1205.0,1380.0,1774.0,2049.0,2327.0,2782.0,2987.0,3464.0,3930.0,3926.0,4621.0,5264.0,5600.0,6174.0,6738.0,7415.0,7986.0,8676.0,9520.0,11032.0,11918.0,12585.0,13651.0,14881.0,16380.0,18790.0,20131.0,21624.0,23557.0,25861.0,28295.0,30794.0,34434.0,38376.0,43258.0,49286.0,50904.0,56990.0,63209.0,72503.0,84310.0,95912.0,113852.0,129206.0,155060.0,184935.0,230292.0,298186.0,381545.0,494807.0,663706.0,888590.0,1299631.0,2024075.0,2975246.0,3399859.0,3554023.0,3342190.0,2535081.0,1194577.0,726821.0,1680591.0,2236066.0,3093507.0,3142136.0,2689175.0,2045391.0,1326243.0,825382.0,474895.0,273915.0,174581.0,177589.0,146560.0,108572.0,110772.0,92547.0,92523.0,81576.0,72600.0,67104.0,58841.0,50259.0,43480.0,38487.0,35573.0,32522.0,29978.0,27573.0,24675.0,22526.0,19863.0,17637.0,16906.0,15858.0,14549.0,13186.0,12358.0,11289.0,10597.0,9689.0,9210.0,8323.0,7690.0,7047.0,6447.0,5933.0,5390.0,5048.0,4612.0,4198.0,3742.0,3415.0,2996.0,2779.0,2613.0,2176.0,1918.0,1516.0,1167.0,917.0,662.0,405.0,107.0],[149.0,403.0,686.0,984.0,1154.0,1487.0,1704.0,2022.0,2370.0,2726.0,3207.0,3474.0,3786.0,4069.0,4361.0,5112.0,5865.0,6372.0,6884.0,7364.0,7768.0,8842.0,9443.0,10371.0,12045.0,13114.0,14058.0,14961.0,15892.0,17674.0,20919.0,21703.0,23964.0,25715.0,28773.0,31197.0,34671.0,39170.0,43559.0,47609.0,51601.0,57120.0,64434.0,74108.0,83848.0,94388.0,109192.0,126616.0,145959.0,172537.0,210038.0,270443.0,389691.0,519398.0,691423.0,980589.0,1456464.0,2186344.0,3016100.0,3386029.0,3378354.0,3276345.0,2156629.0,631117.0,1109558.0,2702732.0,2589249.0,2162731.0,2092448.0,1984201.0,1608602.0,1258594.0,769559.0,529508.0,354992.0,277520.0,201704.0,132844.0,129825.0,114649.0,107036.0,91417.0,77136.0,71527.0,64956.0,54829.0,49150.0,43694.0,40462.0,35432.0,31788.0,29395.0,26757.0,23872.0,20963.0,18855.0,17878.0,17257.0,15715.0,14558.0,13110.0,12468.0,11410.0,10373.0,9607.0,9034.0,8064.0,7549.0,6905.0,6405.0,5964.0,5286.0,4891.0,4633.0,4065.0,3874.0,3409.0,3043.0,2784.0,2532.0,2099.0,1769.0,1509.0,1124.0,974.0,691.0,383.0,128.0]]}
;
</script>
